Simplify:
$1) 6 b - 8 (4 b - 9) + 3 b$
$2) 9 (8 d - 3) - 8 (5 d + 4)$
$3) 20 - 2 (4 f - 9) + 7 (2 f - 6) + 11$
$4) 3 + 4 (7 - h) - 4 (3 h - 1)$
$5) 3 (4 j + 2) - 5 (2 j - 6) + 4 (6 j - 1)$

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Solution

1) $6 B - 8 (4 b - 9) + 3 b$

$= 6 b - (32 b - 72) + 3 b$

$= 6 b - 32 b + 72 + 3 b$

$= (6 - 32 + 3) b + 72$

$= 72 - 23 b$

$6 b - 8 (4 b - 9) + 3 b = 72 - 23 b$

2) $9 (8 d - 3) - 8 (5 d + 4)$

$= (72 d - 27) - (40 d + 32)$

$= 72 d - 27 - 40 d - 32$

$(72 - 40) d - (27 + 32)$

$= 32 d - 59$

$9 (8 d - 3) - 8 (5 d + 4) = 32 d - 59$

3) $20 - 2 (4 f - 9) + 7 (2 f - 6) + 11$

$= 20 - (8 f - 18) + (14 f - 42) + 11$

$= 20 - 8 f + 18 + 14 f - 42 + 11$

$= (- 8 + 14) f + (20 + 18 - 42 + 11)$

$= 6 f + 7$

$20 - 2 (4 f - 9) + 7 (2 f - 6) + 11 = 6 f + 7$

4) $3 + 4 (7 - h) - 4 (3 h - 1)$

$= 3 + (28 - 4 h) - (12 h - 4)$

$= 3 + 28 - 4 h - 12 h + 4$

$= (3 + 28 + 4) + (- 4 - 12) h$

$= 35 + (16 h)$

$= 35 - 16 h$

$3 + 4 (7 - h) - 4 (3 h - 1) = 35 - 16 h$

5) $3 (4 j + 2) - 5 (2 j - 6) + 4 (6 j - 1)$

$= (12 j + 6) - (10 j - 30) + (24 j - 4)$

$= 12 j + 6 - 10 j + 30 + 24 j - 4$

$= (12 - 10 + 24) j + (6 + 30 - 4)$

$= 26 j + 32$

$3 (4 j + 2) - 5 (2 j - 6) + 4 (6 j - 1) = 26 j + 32$

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Simplify the following

1)11-[7-{5-3(9-(3-6))}]

2)16-[5-2+{7of2-(6÷3×2-1+3)}]

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