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Simplifying 2(2m + -3) + -3(2m + -1) = 9 Reorder the terms: 2(-3 + 2m) + -3(2m + -1) = 9 (-3 * 2 + 2m * 2) + -3(2m + -1) = 9 (-6 + 4m) + -3(2m + -1) = 9 Reorder the terms: -6 + 4m + -3(-1 + 2m) = 9 -6 + 4m + (-1 * -3 + 2m * -3) = 9 -6 + 4m + (3 + -6m) = 9 Reorder the terms: -6 + 3 + 4m + -6m = 9 Combine like terms: -6 + 3 = -3 -3 + 4m + -6m = 9 Combine like terms: 4m + -6m = -2m -3 + -2m = 9 Solving -3 + -2m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2m = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 9 + 3 -2m = 9 + 3 Combine like terms: 9 + 3 = 12 -2m = 12 Divide each side by '-2'. m = -6 Simplifying m = -6
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