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Simplifying 78 = -2(b + -7) + 6(8b + 3) Reorder the terms: 78 = -2(-7 + b) + 6(8b + 3) 78 = (-7 * -2 + b * -2) + 6(8b + 3) 78 = (14 + -2b) + 6(8b + 3) Reorder the terms: 78 = 14 + -2b + 6(3 + 8b) 78 = 14 + -2b + (3 * 6 + 8b * 6) 78 = 14 + -2b + (18 + 48b) Reorder the terms: 78 = 14 + 18 + -2b + 48b Combine like terms: 14 + 18 = 32 78 = 32 + -2b + 48b Combine like terms: -2b + 48b = 46b 78 = 32 + 46b Solving 78 = 32 + 46b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-46b' to each side of the equation. 78 + -46b = 32 + 46b + -46b Combine like terms: 46b + -46b = 0 78 + -46b = 32 + 0 78 + -46b = 32 Add '-78' to each side of the equation. 78 + -78 + -46b = 32 + -78 Combine like terms: 78 + -78 = 0 0 + -46b = 32 + -78 -46b = 32 + -78 Combine like terms: 32 + -78 = -46 -46b = -46 Divide each side by '-46'. b = 1 Simplifying b = 1
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