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Simplifying -5(1 + 2b) = -5(b + -14) (1 * -5 + 2b * -5) = -5(b + -14) (-5 + -10b) = -5(b + -14) Reorder the terms: -5 + -10b = -5(-14 + b) -5 + -10b = (-14 * -5 + b * -5) -5 + -10b = (70 + -5b) Solving -5 + -10b = 70 + -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. -5 + -10b + 5b = 70 + -5b + 5b Combine like terms: -10b + 5b = -5b -5 + -5b = 70 + -5b + 5b Combine like terms: -5b + 5b = 0 -5 + -5b = 70 + 0 -5 + -5b = 70 Add '5' to each side of the equation. -5 + 5 + -5b = 70 + 5 Combine like terms: -5 + 5 = 0 0 + -5b = 70 + 5 -5b = 70 + 5 Combine like terms: 70 + 5 = 75 -5b = 75 Divide each side by '-5'. b = -15 Simplifying b = -15
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