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Simplifying (4m + 9) + -3(2m + -5) = 0 Reorder the terms: (9 + 4m) + -3(2m + -5) = 0 Remove parenthesis around (9 + 4m) 9 + 4m + -3(2m + -5) = 0 Reorder the terms: 9 + 4m + -3(-5 + 2m) = 0 9 + 4m + (-5 * -3 + 2m * -3) = 0 9 + 4m + (15 + -6m) = 0 Reorder the terms: 9 + 15 + 4m + -6m = 0 Combine like terms: 9 + 15 = 24 24 + 4m + -6m = 0 Combine like terms: 4m + -6m = -2m 24 + -2m = 0 Solving 24 + -2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2m = 0 + -24 -2m = 0 + -24 Combine like terms: 0 + -24 = -24 -2m = -24 Divide each side by '-2'. m = 12 Simplifying m = 12
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