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Simplifying -5(1b + -3) = 8(1b + -3) Reorder the terms: -5(-3 + 1b) = 8(1b + -3) (-3 * -5 + 1b * -5) = 8(1b + -3) (15 + -5b) = 8(1b + -3) Reorder the terms: 15 + -5b = 8(-3 + 1b) 15 + -5b = (-3 * 8 + 1b * 8) 15 + -5b = (-24 + 8b) Solving 15 + -5b = -24 + 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. 15 + -5b + -8b = -24 + 8b + -8b Combine like terms: -5b + -8b = -13b 15 + -13b = -24 + 8b + -8b Combine like terms: 8b + -8b = 0 15 + -13b = -24 + 0 15 + -13b = -24 Add '-15' to each side of the equation. 15 + -15 + -13b = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -13b = -24 + -15 -13b = -24 + -15 Combine like terms: -24 + -15 = -39 -13b = -39 Divide each side by '-13'. b = 3 Simplifying b = 3
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