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Simplifying 30 + 7m = -6m + -5(1 + -4m) 30 + 7m = -6m + (1 * -5 + -4m * -5) 30 + 7m = -6m + (-5 + 20m) Reorder the terms: 30 + 7m = -5 + -6m + 20m Combine like terms: -6m + 20m = 14m 30 + 7m = -5 + 14m Solving 30 + 7m = -5 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 30 + 7m + -14m = -5 + 14m + -14m Combine like terms: 7m + -14m = -7m 30 + -7m = -5 + 14m + -14m Combine like terms: 14m + -14m = 0 30 + -7m = -5 + 0 30 + -7m = -5 Add '-30' to each side of the equation. 30 + -30 + -7m = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -7m = -5 + -30 -7m = -5 + -30 Combine like terms: -5 + -30 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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