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Simplifying 3b + -6b = 12(b + 1) + 9(b + -12) Combine like terms: 3b + -6b = -3b -3b = 12(b + 1) + 9(b + -12) Reorder the terms: -3b = 12(1 + b) + 9(b + -12) -3b = (1 * 12 + b * 12) + 9(b + -12) -3b = (12 + 12b) + 9(b + -12) Reorder the terms: -3b = 12 + 12b + 9(-12 + b) -3b = 12 + 12b + (-12 * 9 + b * 9) -3b = 12 + 12b + (-108 + 9b) Reorder the terms: -3b = 12 + -108 + 12b + 9b Combine like terms: 12 + -108 = -96 -3b = -96 + 12b + 9b Combine like terms: 12b + 9b = 21b -3b = -96 + 21b Solving -3b = -96 + 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. -3b + -21b = -96 + 21b + -21b Combine like terms: -3b + -21b = -24b -24b = -96 + 21b + -21b Combine like terms: 21b + -21b = 0 -24b = -96 + 0 -24b = -96 Divide each side by '-24'. b = 4 Simplifying b = 4
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