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Simplifying -4(6b + -3) = 7(8 + -1b) + -6b Reorder the terms: -4(-3 + 6b) = 7(8 + -1b) + -6b (-3 * -4 + 6b * -4) = 7(8 + -1b) + -6b (12 + -24b) = 7(8 + -1b) + -6b 12 + -24b = (8 * 7 + -1b * 7) + -6b 12 + -24b = (56 + -7b) + -6b Combine like terms: -7b + -6b = -13b 12 + -24b = 56 + -13b Solving 12 + -24b = 56 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. 12 + -24b + 13b = 56 + -13b + 13b Combine like terms: -24b + 13b = -11b 12 + -11b = 56 + -13b + 13b Combine like terms: -13b + 13b = 0 12 + -11b = 56 + 0 12 + -11b = 56 Add '-12' to each side of the equation. 12 + -12 + -11b = 56 + -12 Combine like terms: 12 + -12 = 0 0 + -11b = 56 + -12 -11b = 56 + -12 Combine like terms: 56 + -12 = 44 -11b = 44 Divide each side by '-11'. b = -4 Simplifying b = -4
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