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Simplifying 7(b + 5) = 8(b + -7) Reorder the terms: 7(5 + b) = 8(b + -7) (5 * 7 + b * 7) = 8(b + -7) (35 + 7b) = 8(b + -7) Reorder the terms: 35 + 7b = 8(-7 + b) 35 + 7b = (-7 * 8 + b * 8) 35 + 7b = (-56 + 8b) Solving 35 + 7b = -56 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 35 + 7b + -8b = -56 + 8b + -8b Combine like terms: 7b + -8b = -1b 35 + -1b = -56 + 8b + -8b Combine like terms: 8b + -8b = 0 35 + -1b = -56 + 0 35 + -1b = -56 Add '-35' to each side of the equation. 35 + -35 + -1b = -56 + -35 Combine like terms: 35 + -35 = 0 0 + -1b = -56 + -35 -1b = -56 + -35 Combine like terms: -56 + -35 = -91 -1b = -91 Divide each side by '-1'. b = 91 Simplifying b = 91
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