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Simplifying -2(3 + 4m) + -9 = 45 (3 * -2 + 4m * -2) + -9 = 45 (-6 + -8m) + -9 = 45 Reorder the terms: -6 + -9 + -8m = 45 Combine like terms: -6 + -9 = -15 -15 + -8m = 45 Solving -15 + -8m = 45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -8m = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -8m = 45 + 15 -8m = 45 + 15 Combine like terms: 45 + 15 = 60 -8m = 60 Divide each side by '-8'. m = -7.5 Simplifying m = -7.5
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