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Simplifying 7m + -1(m + -7) = 7(1 + -5m) Reorder the terms: 7m + -1(-7 + m) = 7(1 + -5m) 7m + (-7 * -1 + m * -1) = 7(1 + -5m) 7m + (7 + -1m) = 7(1 + -5m) Reorder the terms: 7 + 7m + -1m = 7(1 + -5m) Combine like terms: 7m + -1m = 6m 7 + 6m = 7(1 + -5m) 7 + 6m = (1 * 7 + -5m * 7) 7 + 6m = (7 + -35m) Add '-7' to each side of the equation. 7 + -7 + 6m = 7 + -7 + -35m Combine like terms: 7 + -7 = 0 0 + 6m = 7 + -7 + -35m 6m = 7 + -7 + -35m Combine like terms: 7 + -7 = 0 6m = 0 + -35m 6m = -35m Solving 6m = -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. 6m + 35m = -35m + 35m Combine like terms: 6m + 35m = 41m 41m = -35m + 35m Combine like terms: -35m + 35m = 0 41m = 0 Divide each side by '41'. m = 0 Simplifying m = 0
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