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Simplifying 12b + 12 + 2b = 9(9b + -1) + -3(b + -7) Reorder the terms: 12 + 12b + 2b = 9(9b + -1) + -3(b + -7) Combine like terms: 12b + 2b = 14b 12 + 14b = 9(9b + -1) + -3(b + -7) Reorder the terms: 12 + 14b = 9(-1 + 9b) + -3(b + -7) 12 + 14b = (-1 * 9 + 9b * 9) + -3(b + -7) 12 + 14b = (-9 + 81b) + -3(b + -7) Reorder the terms: 12 + 14b = -9 + 81b + -3(-7 + b) 12 + 14b = -9 + 81b + (-7 * -3 + b * -3) 12 + 14b = -9 + 81b + (21 + -3b) Reorder the terms: 12 + 14b = -9 + 21 + 81b + -3b Combine like terms: -9 + 21 = 12 12 + 14b = 12 + 81b + -3b Combine like terms: 81b + -3b = 78b 12 + 14b = 12 + 78b Add '-12' to each side of the equation. 12 + -12 + 14b = 12 + -12 + 78b Combine like terms: 12 + -12 = 0 0 + 14b = 12 + -12 + 78b 14b = 12 + -12 + 78b Combine like terms: 12 + -12 = 0 14b = 0 + 78b 14b = 78b Solving 14b = 78b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-78b' to each side of the equation. 14b + -78b = 78b + -78b Combine like terms: 14b + -78b = -64b -64b = 78b + -78b Combine like terms: 78b + -78b = 0 -64b = 0 Divide each side by '-64'. b = 0 Simplifying b = 0
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