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Simplifying -1(3b + 5) = 3(8b + 7) Reorder the terms: -1(5 + 3b) = 3(8b + 7) (5 * -1 + 3b * -1) = 3(8b + 7) (-5 + -3b) = 3(8b + 7) Reorder the terms: -5 + -3b = 3(7 + 8b) -5 + -3b = (7 * 3 + 8b * 3) -5 + -3b = (21 + 24b) Solving -5 + -3b = 21 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -5 + -3b + -24b = 21 + 24b + -24b Combine like terms: -3b + -24b = -27b -5 + -27b = 21 + 24b + -24b Combine like terms: 24b + -24b = 0 -5 + -27b = 21 + 0 -5 + -27b = 21 Add '5' to each side of the equation. -5 + 5 + -27b = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -27b = 21 + 5 -27b = 21 + 5 Combine like terms: 21 + 5 = 26 -27b = 26 Divide each side by '-27'. b = -0.962962963 Simplifying b = -0.962962963
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