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Simplifying 7(3 + -2m) = -7(3m + 7) (3 * 7 + -2m * 7) = -7(3m + 7) (21 + -14m) = -7(3m + 7) Reorder the terms: 21 + -14m = -7(7 + 3m) 21 + -14m = (7 * -7 + 3m * -7) 21 + -14m = (-49 + -21m) Solving 21 + -14m = -49 + -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. 21 + -14m + 21m = -49 + -21m + 21m Combine like terms: -14m + 21m = 7m 21 + 7m = -49 + -21m + 21m Combine like terms: -21m + 21m = 0 21 + 7m = -49 + 0 21 + 7m = -49 Add '-21' to each side of the equation. 21 + -21 + 7m = -49 + -21 Combine like terms: 21 + -21 = 0 0 + 7m = -49 + -21 7m = -49 + -21 Combine like terms: -49 + -21 = -70 7m = -70 Divide each side by '7'. m = -10 Simplifying m = -10
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