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Simplifying 7(5m + 7) = 7(7m + -3) Reorder the terms: 7(7 + 5m) = 7(7m + -3) (7 * 7 + 5m * 7) = 7(7m + -3) (49 + 35m) = 7(7m + -3) Reorder the terms: 49 + 35m = 7(-3 + 7m) 49 + 35m = (-3 * 7 + 7m * 7) 49 + 35m = (-21 + 49m) Solving 49 + 35m = -21 + 49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-49m' to each side of the equation. 49 + 35m + -49m = -21 + 49m + -49m Combine like terms: 35m + -49m = -14m 49 + -14m = -21 + 49m + -49m Combine like terms: 49m + -49m = 0 49 + -14m = -21 + 0 49 + -14m = -21 Add '-49' to each side of the equation. 49 + -49 + -14m = -21 + -49 Combine like terms: 49 + -49 = 0 0 + -14m = -21 + -49 -14m = -21 + -49 Combine like terms: -21 + -49 = -70 -14m = -70 Divide each side by '-14'. m = 5 Simplifying m = 5
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