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Simplifying -2(b + 4) = 4(2b + -17) Reorder the terms: -2(4 + b) = 4(2b + -17) (4 * -2 + b * -2) = 4(2b + -17) (-8 + -2b) = 4(2b + -17) Reorder the terms: -8 + -2b = 4(-17 + 2b) -8 + -2b = (-17 * 4 + 2b * 4) -8 + -2b = (-68 + 8b) Solving -8 + -2b = -68 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -8 + -2b + -8b = -68 + 8b + -8b Combine like terms: -2b + -8b = -10b -8 + -10b = -68 + 8b + -8b Combine like terms: 8b + -8b = 0 -8 + -10b = -68 + 0 -8 + -10b = -68 Add '8' to each side of the equation. -8 + 8 + -10b = -68 + 8 Combine like terms: -8 + 8 = 0 0 + -10b = -68 + 8 -10b = -68 + 8 Combine like terms: -68 + 8 = -60 -10b = -60 Divide each side by '-10'. b = 6 Simplifying b = 6
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