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Simplifying -2(4 + -8b) = -3(1 + -7b) (4 * -2 + -8b * -2) = -3(1 + -7b) (-8 + 16b) = -3(1 + -7b) -8 + 16b = (1 * -3 + -7b * -3) -8 + 16b = (-3 + 21b) Solving -8 + 16b = -3 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. -8 + 16b + -21b = -3 + 21b + -21b Combine like terms: 16b + -21b = -5b -8 + -5b = -3 + 21b + -21b Combine like terms: 21b + -21b = 0 -8 + -5b = -3 + 0 -8 + -5b = -3 Add '8' to each side of the equation. -8 + 8 + -5b = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = -3 + 8 -5b = -3 + 8 Combine like terms: -3 + 8 = 5 -5b = 5 Divide each side by '-5'. b = -1 Simplifying b = -1
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