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Simplifying 35 + 5m = 5(8m + -7) Reorder the terms: 35 + 5m = 5(-7 + 8m) 35 + 5m = (-7 * 5 + 8m * 5) 35 + 5m = (-35 + 40m) Solving 35 + 5m = -35 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. 35 + 5m + -40m = -35 + 40m + -40m Combine like terms: 5m + -40m = -35m 35 + -35m = -35 + 40m + -40m Combine like terms: 40m + -40m = 0 35 + -35m = -35 + 0 35 + -35m = -35 Add '-35' to each side of the equation. 35 + -35 + -35m = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -35m = -35 + -35 -35m = -35 + -35 Combine like terms: -35 + -35 = -70 -35m = -70 Divide each side by '-35'. m = 2 Simplifying m = 2
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