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Simplifying 7(m + -2) = 3(2m + -3) Reorder the terms: 7(-2 + m) = 3(2m + -3) (-2 * 7 + m * 7) = 3(2m + -3) (-14 + 7m) = 3(2m + -3) Reorder the terms: -14 + 7m = 3(-3 + 2m) -14 + 7m = (-3 * 3 + 2m * 3) -14 + 7m = (-9 + 6m) Solving -14 + 7m = -9 + 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. -14 + 7m + -6m = -9 + 6m + -6m Combine like terms: 7m + -6m = 1m -14 + 1m = -9 + 6m + -6m Combine like terms: 6m + -6m = 0 -14 + 1m = -9 + 0 -14 + 1m = -9 Add '14' to each side of the equation. -14 + 14 + 1m = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 1m = -9 + 14 1m = -9 + 14 Combine like terms: -9 + 14 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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