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Simplifying -5m + -35 = 7(m + 7) Reorder the terms: -35 + -5m = 7(m + 7) Reorder the terms: -35 + -5m = 7(7 + m) -35 + -5m = (7 * 7 + m * 7) -35 + -5m = (49 + 7m) Solving -35 + -5m = 49 + 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. -35 + -5m + -7m = 49 + 7m + -7m Combine like terms: -5m + -7m = -12m -35 + -12m = 49 + 7m + -7m Combine like terms: 7m + -7m = 0 -35 + -12m = 49 + 0 -35 + -12m = 49 Add '35' to each side of the equation. -35 + 35 + -12m = 49 + 35 Combine like terms: -35 + 35 = 0 0 + -12m = 49 + 35 -12m = 49 + 35 Combine like terms: 49 + 35 = 84 -12m = 84 Divide each side by '-12'. m = -7 Simplifying m = -7
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