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Simplifying -14 = 7(1 + 4m) + -7m -14 = (1 * 7 + 4m * 7) + -7m -14 = (7 + 28m) + -7m Combine like terms: 28m + -7m = 21m -14 = 7 + 21m Solving -14 = 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 + -21m = 7 + 21m + -21m Combine like terms: 21m + -21m = 0 -14 + -21m = 7 + 0 -14 + -21m = 7 Add '14' to each side of the equation. -14 + 14 + -21m = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -21m = 7 + 14 -21m = 7 + 14 Combine like terms: 7 + 14 = 21 -21m = 21 Divide each side by '-21'. m = -1 Simplifying m = -1
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