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Simplifying 7(b + 8) = 3(4b + -3) Reorder the terms: 7(8 + b) = 3(4b + -3) (8 * 7 + b * 7) = 3(4b + -3) (56 + 7b) = 3(4b + -3) Reorder the terms: 56 + 7b = 3(-3 + 4b) 56 + 7b = (-3 * 3 + 4b * 3) 56 + 7b = (-9 + 12b) Solving 56 + 7b = -9 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 56 + 7b + -12b = -9 + 12b + -12b Combine like terms: 7b + -12b = -5b 56 + -5b = -9 + 12b + -12b Combine like terms: 12b + -12b = 0 56 + -5b = -9 + 0 56 + -5b = -9 Add '-56' to each side of the equation. 56 + -56 + -5b = -9 + -56 Combine like terms: 56 + -56 = 0 0 + -5b = -9 + -56 -5b = -9 + -56 Combine like terms: -9 + -56 = -65 -5b = -65 Divide each side by '-5'. b = 13 Simplifying b = 13
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