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Simplifying 3(b + -5) = -5(-1 + -1b) Reorder the terms: 3(-5 + b) = -5(-1 + -1b) (-5 * 3 + b * 3) = -5(-1 + -1b) (-15 + 3b) = -5(-1 + -1b) -15 + 3b = (-1 * -5 + -1b * -5) -15 + 3b = (5 + 5b) Solving -15 + 3b = 5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -15 + 3b + -5b = 5 + 5b + -5b Combine like terms: 3b + -5b = -2b -15 + -2b = 5 + 5b + -5b Combine like terms: 5b + -5b = 0 -15 + -2b = 5 + 0 -15 + -2b = 5 Add '15' to each side of the equation. -15 + 15 + -2b = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -2b = 5 + 15 -2b = 5 + 15 Combine like terms: 5 + 15 = 20 -2b = 20 Divide each side by '-2'. b = -10 Simplifying b = -10
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