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Simplifying 7(7 + 4m) = -7(6 + -5m) (7 * 7 + 4m * 7) = -7(6 + -5m) (49 + 28m) = -7(6 + -5m) 49 + 28m = (6 * -7 + -5m * -7) 49 + 28m = (-42 + 35m) Solving 49 + 28m = -42 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 49 + 28m + -35m = -42 + 35m + -35m Combine like terms: 28m + -35m = -7m 49 + -7m = -42 + 35m + -35m Combine like terms: 35m + -35m = 0 49 + -7m = -42 + 0 49 + -7m = -42 Add '-49' to each side of the equation. 49 + -49 + -7m = -42 + -49 Combine like terms: 49 + -49 = 0 0 + -7m = -42 + -49 -7m = -42 + -49 Combine like terms: -42 + -49 = -91 -7m = -91 Divide each side by '-7'. m = 13 Simplifying m = 13
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