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Simplifying 7(2m + 1) = -35 + 7m Reorder the terms: 7(1 + 2m) = -35 + 7m (1 * 7 + 2m * 7) = -35 + 7m (7 + 14m) = -35 + 7m Solving 7 + 14m = -35 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 7 + 14m + -7m = -35 + 7m + -7m Combine like terms: 14m + -7m = 7m 7 + 7m = -35 + 7m + -7m Combine like terms: 7m + -7m = 0 7 + 7m = -35 + 0 7 + 7m = -35 Add '-7' to each side of the equation. 7 + -7 + 7m = -35 + -7 Combine like terms: 7 + -7 = 0 0 + 7m = -35 + -7 7m = -35 + -7 Combine like terms: -35 + -7 = -42 7m = -42 Divide each side by '7'. m = -6 Simplifying m = -6
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