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Simplifying 7m + -1(2 + m) = 5m + -1(m + -4) 7m + (2 * -1 + m * -1) = 5m + -1(m + -4) 7m + (-2 + -1m) = 5m + -1(m + -4) Reorder the terms: -2 + 7m + -1m = 5m + -1(m + -4) Combine like terms: 7m + -1m = 6m -2 + 6m = 5m + -1(m + -4) Reorder the terms: -2 + 6m = 5m + -1(-4 + m) -2 + 6m = 5m + (-4 * -1 + m * -1) -2 + 6m = 5m + (4 + -1m) Reorder the terms: -2 + 6m = 4 + 5m + -1m Combine like terms: 5m + -1m = 4m -2 + 6m = 4 + 4m Solving -2 + 6m = 4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -2 + 6m + -4m = 4 + 4m + -4m Combine like terms: 6m + -4m = 2m -2 + 2m = 4 + 4m + -4m Combine like terms: 4m + -4m = 0 -2 + 2m = 4 + 0 -2 + 2m = 4 Add '2' to each side of the equation. -2 + 2 + 2m = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2m = 4 + 2 2m = 4 + 2 Combine like terms: 4 + 2 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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