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Simplifying 7 + -6m = -1m + -1(1 + 4m) 7 + -6m = -1m + (1 * -1 + 4m * -1) 7 + -6m = -1m + (-1 + -4m) Reorder the terms: 7 + -6m = -1 + -1m + -4m Combine like terms: -1m + -4m = -5m 7 + -6m = -1 + -5m Solving 7 + -6m = -1 + -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 + -6m + 5m = -1 + -5m + 5m Combine like terms: -6m + 5m = -1m 7 + -1m = -1 + -5m + 5m Combine like terms: -5m + 5m = 0 7 + -1m = -1 + 0 7 + -1m = -1 Add '-7' to each side of the equation. 7 + -7 + -1m = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = -1 + -7 -1m = -1 + -7 Combine like terms: -1 + -7 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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