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Simplifying 6(7b + -2) = -15 + 9b Reorder the terms: 6(-2 + 7b) = -15 + 9b (-2 * 6 + 7b * 6) = -15 + 9b (-12 + 42b) = -15 + 9b Solving -12 + 42b = -15 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -12 + 42b + -9b = -15 + 9b + -9b Combine like terms: 42b + -9b = 33b -12 + 33b = -15 + 9b + -9b Combine like terms: 9b + -9b = 0 -12 + 33b = -15 + 0 -12 + 33b = -15 Add '12' to each side of the equation. -12 + 12 + 33b = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 33b = -15 + 12 33b = -15 + 12 Combine like terms: -15 + 12 = -3 33b = -3 Divide each side by '33'. b = -0.09090909091 Simplifying b = -0.09090909091
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