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Simplifying 12(m + -3) + -3 = 6 + -3(2m + -3) Reorder the terms: 12(-3 + m) + -3 = 6 + -3(2m + -3) (-3 * 12 + m * 12) + -3 = 6 + -3(2m + -3) (-36 + 12m) + -3 = 6 + -3(2m + -3) Reorder the terms: -36 + -3 + 12m = 6 + -3(2m + -3) Combine like terms: -36 + -3 = -39 -39 + 12m = 6 + -3(2m + -3) Reorder the terms: -39 + 12m = 6 + -3(-3 + 2m) -39 + 12m = 6 + (-3 * -3 + 2m * -3) -39 + 12m = 6 + (9 + -6m) Combine like terms: 6 + 9 = 15 -39 + 12m = 15 + -6m Solving -39 + 12m = 15 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -39 + 12m + 6m = 15 + -6m + 6m Combine like terms: 12m + 6m = 18m -39 + 18m = 15 + -6m + 6m Combine like terms: -6m + 6m = 0 -39 + 18m = 15 + 0 -39 + 18m = 15 Add '39' to each side of the equation. -39 + 39 + 18m = 15 + 39 Combine like terms: -39 + 39 = 0 0 + 18m = 15 + 39 18m = 15 + 39 Combine like terms: 15 + 39 = 54 18m = 54 Divide each side by '18'. m = 3 Simplifying m = 3
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