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Simplifying 7(2m + -3) = 12m + -15 Reorder the terms: 7(-3 + 2m) = 12m + -15 (-3 * 7 + 2m * 7) = 12m + -15 (-21 + 14m) = 12m + -15 Reorder the terms: -21 + 14m = -15 + 12m Solving -21 + 14m = -15 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -21 + 14m + -12m = -15 + 12m + -12m Combine like terms: 14m + -12m = 2m -21 + 2m = -15 + 12m + -12m Combine like terms: 12m + -12m = 0 -21 + 2m = -15 + 0 -21 + 2m = -15 Add '21' to each side of the equation. -21 + 21 + 2m = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2m = -15 + 21 2m = -15 + 21 Combine like terms: -15 + 21 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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