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Simplifying 5(m + -2) + -1m = 6(m + -4) Reorder the terms: 5(-2 + m) + -1m = 6(m + -4) (-2 * 5 + m * 5) + -1m = 6(m + -4) (-10 + 5m) + -1m = 6(m + -4) Combine like terms: 5m + -1m = 4m -10 + 4m = 6(m + -4) Reorder the terms: -10 + 4m = 6(-4 + m) -10 + 4m = (-4 * 6 + m * 6) -10 + 4m = (-24 + 6m) Solving -10 + 4m = -24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -10 + 4m + -6m = -24 + 6m + -6m Combine like terms: 4m + -6m = -2m -10 + -2m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 -10 + -2m = -24 + 0 -10 + -2m = -24 Add '10' to each side of the equation. -10 + 10 + -2m = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2m = -24 + 10 -2m = -24 + 10 Combine like terms: -24 + 10 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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