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Simplifying 2(b + -6) + -5(b + 3) = 15 Reorder the terms: 2(-6 + b) + -5(b + 3) = 15 (-6 * 2 + b * 2) + -5(b + 3) = 15 (-12 + 2b) + -5(b + 3) = 15 Reorder the terms: -12 + 2b + -5(3 + b) = 15 -12 + 2b + (3 * -5 + b * -5) = 15 -12 + 2b + (-15 + -5b) = 15 Reorder the terms: -12 + -15 + 2b + -5b = 15 Combine like terms: -12 + -15 = -27 -27 + 2b + -5b = 15 Combine like terms: 2b + -5b = -3b -27 + -3b = 15 Solving -27 + -3b = 15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -3b = 15 + 27 Combine like terms: -27 + 27 = 0 0 + -3b = 15 + 27 -3b = 15 + 27 Combine like terms: 15 + 27 = 42 -3b = 42 Divide each side by '-3'. b = -14 Simplifying b = -14
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