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Simplifying -6(b + 5) = 3(b + -5) Reorder the terms: -6(5 + b) = 3(b + -5) (5 * -6 + b * -6) = 3(b + -5) (-30 + -6b) = 3(b + -5) Reorder the terms: -30 + -6b = 3(-5 + b) -30 + -6b = (-5 * 3 + b * 3) -30 + -6b = (-15 + 3b) Solving -30 + -6b = -15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -30 + -6b + -3b = -15 + 3b + -3b Combine like terms: -6b + -3b = -9b -30 + -9b = -15 + 3b + -3b Combine like terms: 3b + -3b = 0 -30 + -9b = -15 + 0 -30 + -9b = -15 Add '30' to each side of the equation. -30 + 30 + -9b = -15 + 30 Combine like terms: -30 + 30 = 0 0 + -9b = -15 + 30 -9b = -15 + 30 Combine like terms: -15 + 30 = 15 -9b = 15 Divide each side by '-9'. b = -1.666666667 Simplifying b = -1.666666667
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