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Simplifying 4(2m + -6) + -3p + -2m = 8 Reorder the terms: 4(-6 + 2m) + -3p + -2m = 8 (-6 * 4 + 2m * 4) + -3p + -2m = 8 (-24 + 8m) + -3p + -2m = 8 Reorder the terms: -24 + 8m + -2m + -3p = 8 Combine like terms: 8m + -2m = 6m -24 + 6m + -3p = 8 Solving -24 + 6m + -3p = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6m + 24 + -3p = 8 + 24 Reorder the terms: -24 + 24 + 6m + -3p = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 6m + -3p = 8 + 24 6m + -3p = 8 + 24 Combine like terms: 8 + 24 = 32 6m + -3p = 32 Add '3p' to each side of the equation. 6m + -3p + 3p = 32 + 3p Combine like terms: -3p + 3p = 0 6m + 0 = 32 + 3p 6m = 32 + 3p Divide each side by '6'. m = 5.333333333 + 0.5p Simplifying m = 5.333333333 + 0.5p
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