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Simplifying 7(1 + 5m) = 7 + -2m (1 * 7 + 5m * 7) = 7 + -2m (7 + 35m) = 7 + -2m Add '-7' to each side of the equation. 7 + -7 + 35m = 7 + -7 + -2m Combine like terms: 7 + -7 = 0 0 + 35m = 7 + -7 + -2m 35m = 7 + -7 + -2m Combine like terms: 7 + -7 = 0 35m = 0 + -2m 35m = -2m Solving 35m = -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 35m + 2m = -2m + 2m Combine like terms: 35m + 2m = 37m 37m = -2m + 2m Combine like terms: -2m + 2m = 0 37m = 0 Divide each side by '37'. m = 0 Simplifying m = 0
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