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Simplifying 8(m + -3) + -2(m + -2) = 10 Reorder the terms: 8(-3 + m) + -2(m + -2) = 10 (-3 * 8 + m * 8) + -2(m + -2) = 10 (-24 + 8m) + -2(m + -2) = 10 Reorder the terms: -24 + 8m + -2(-2 + m) = 10 -24 + 8m + (-2 * -2 + m * -2) = 10 -24 + 8m + (4 + -2m) = 10 Reorder the terms: -24 + 4 + 8m + -2m = 10 Combine like terms: -24 + 4 = -20 -20 + 8m + -2m = 10 Combine like terms: 8m + -2m = 6m -20 + 6m = 10 Solving -20 + 6m = 10 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6m = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6m = 10 + 20 6m = 10 + 20 Combine like terms: 10 + 20 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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