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Simplifying 7(b + 2) = -8(b + -7) Reorder the terms: 7(2 + b) = -8(b + -7) (2 * 7 + b * 7) = -8(b + -7) (14 + 7b) = -8(b + -7) Reorder the terms: 14 + 7b = -8(-7 + b) 14 + 7b = (-7 * -8 + b * -8) 14 + 7b = (56 + -8b) Solving 14 + 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. 14 + 7b + 8b = 56 + -8b + 8b Combine like terms: 7b + 8b = 15b 14 + 15b = 56 + -8b + 8b Combine like terms: -8b + 8b = 0 14 + 15b = 56 + 0 14 + 15b = 56 Add '-14' to each side of the equation. 14 + -14 + 15b = 56 + -14 Combine like terms: 14 + -14 = 0 0 + 15b = 56 + -14 15b = 56 + -14 Combine like terms: 56 + -14 = 42 15b = 42 Divide each side by '15'. b = 2.8 Simplifying b = 2.8
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