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Simplifying -1(3b + -5) = 6(2b + 5) Reorder the terms: -1(-5 + 3b) = 6(2b + 5) (-5 * -1 + 3b * -1) = 6(2b + 5) (5 + -3b) = 6(2b + 5) Reorder the terms: 5 + -3b = 6(5 + 2b) 5 + -3b = (5 * 6 + 2b * 6) 5 + -3b = (30 + 12b) Solving 5 + -3b = 30 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 5 + -3b + -12b = 30 + 12b + -12b Combine like terms: -3b + -12b = -15b 5 + -15b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 5 + -15b = 30 + 0 5 + -15b = 30 Add '-5' to each side of the equation. 5 + -5 + -15b = 30 + -5 Combine like terms: 5 + -5 = 0 0 + -15b = 30 + -5 -15b = 30 + -5 Combine like terms: 30 + -5 = 25 -15b = 25 Divide each side by '-15'. b = -1.666666667 Simplifying b = -1.666666667
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