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Simplifying -1m + 14 = 4(7m + -7) + -8m Reorder the terms: 14 + -1m = 4(7m + -7) + -8m Reorder the terms: 14 + -1m = 4(-7 + 7m) + -8m 14 + -1m = (-7 * 4 + 7m * 4) + -8m 14 + -1m = (-28 + 28m) + -8m Combine like terms: 28m + -8m = 20m 14 + -1m = -28 + 20m Solving 14 + -1m = -28 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 14 + -1m + -20m = -28 + 20m + -20m Combine like terms: -1m + -20m = -21m 14 + -21m = -28 + 20m + -20m Combine like terms: 20m + -20m = 0 14 + -21m = -28 + 0 14 + -21m = -28 Add '-14' to each side of the equation. 14 + -14 + -21m = -28 + -14 Combine like terms: 14 + -14 = 0 0 + -21m = -28 + -14 -21m = -28 + -14 Combine like terms: -28 + -14 = -42 -21m = -42 Divide each side by '-21'. m = 2 Simplifying m = 2
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