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Simplifying 2(-6m + -7) + -2m = 7(1 + -3m) Reorder the terms: 2(-7 + -6m) + -2m = 7(1 + -3m) (-7 * 2 + -6m * 2) + -2m = 7(1 + -3m) (-14 + -12m) + -2m = 7(1 + -3m) Combine like terms: -12m + -2m = -14m -14 + -14m = 7(1 + -3m) -14 + -14m = (1 * 7 + -3m * 7) -14 + -14m = (7 + -21m) Solving -14 + -14m = 7 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. -14 + -14m + 21m = 7 + -21m + 21m Combine like terms: -14m + 21m = 7m -14 + 7m = 7 + -21m + 21m Combine like terms: -21m + 21m = 0 -14 + 7m = 7 + 0 -14 + 7m = 7 Add '14' to each side of the equation. -14 + 14 + 7m = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 7m = 7 + 14 7m = 7 + 14 Combine like terms: 7 + 14 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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