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Simplifying 4(6b + 3) = -7(-1b + 8) Reorder the terms: 4(3 + 6b) = -7(-1b + 8) (3 * 4 + 6b * 4) = -7(-1b + 8) (12 + 24b) = -7(-1b + 8) Reorder the terms: 12 + 24b = -7(8 + -1b) 12 + 24b = (8 * -7 + -1b * -7) 12 + 24b = (-56 + 7b) Solving 12 + 24b = -56 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 12 + 24b + -7b = -56 + 7b + -7b Combine like terms: 24b + -7b = 17b 12 + 17b = -56 + 7b + -7b Combine like terms: 7b + -7b = 0 12 + 17b = -56 + 0 12 + 17b = -56 Add '-12' to each side of the equation. 12 + -12 + 17b = -56 + -12 Combine like terms: 12 + -12 = 0 0 + 17b = -56 + -12 17b = -56 + -12 Combine like terms: -56 + -12 = -68 17b = -68 Divide each side by '17'. b = -4 Simplifying b = -4
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