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Simplifying 7(1 + -5m) = 37 + -5m (1 * 7 + -5m * 7) = 37 + -5m (7 + -35m) = 37 + -5m Solving 7 + -35m = 37 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 7 + -35m + 5m = 37 + -5m + 5m Combine like terms: -35m + 5m = -30m 7 + -30m = 37 + -5m + 5m Combine like terms: -5m + 5m = 0 7 + -30m = 37 + 0 7 + -30m = 37 Add '-7' to each side of the equation. 7 + -7 + -30m = 37 + -7 Combine like terms: 7 + -7 = 0 0 + -30m = 37 + -7 -30m = 37 + -7 Combine like terms: 37 + -7 = 30 -30m = 30 Divide each side by '-30'. m = -1 Simplifying m = -1
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