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Simplifying 5 + 3m = 7m + -35 Reorder the terms: 5 + 3m = -35 + 7m Solving 5 + 3m = -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. 5 + 3m + -7m = -35 + 7m + -7m Combine like terms: 3m + -7m = -4m 5 + -4m = -35 + 7m + -7m Combine like terms: 7m + -7m = 0 5 + -4m = -35 + 0 5 + -4m = -35 Add '-5' to each side of the equation. 5 + -5 + -4m = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = -35 + -5 -4m = -35 + -5 Combine like terms: -35 + -5 = -40 -4m = -40 Divide each side by '-4'. m = 10 Simplifying m = 10
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