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Simplifying 6b + -9b = 10(1 + -1b) + 9(b + 2) Combine like terms: 6b + -9b = -3b -3b = 10(1 + -1b) + 9(b + 2) -3b = (1 * 10 + -1b * 10) + 9(b + 2) -3b = (10 + -10b) + 9(b + 2) Reorder the terms: -3b = 10 + -10b + 9(2 + b) -3b = 10 + -10b + (2 * 9 + b * 9) -3b = 10 + -10b + (18 + 9b) Reorder the terms: -3b = 10 + 18 + -10b + 9b Combine like terms: 10 + 18 = 28 -3b = 28 + -10b + 9b Combine like terms: -10b + 9b = -1b -3b = 28 + -1b Solving -3b = 28 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -3b + b = 28 + -1b + b Combine like terms: -3b + b = -2b -2b = 28 + -1b + b Combine like terms: -1b + b = 0 -2b = 28 + 0 -2b = 28 Divide each side by '-2'. b = -14 Simplifying b = -14
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