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Simplifying 4(2m + -6) + -3p + -2m + 8 = 0 Reorder the terms: 4(-6 + 2m) + -3p + -2m + 8 = 0 (-6 * 4 + 2m * 4) + -3p + -2m + 8 = 0 (-24 + 8m) + -3p + -2m + 8 = 0 Reorder the terms: -24 + 8 + 8m + -2m + -3p = 0 Combine like terms: -24 + 8 = -16 -16 + 8m + -2m + -3p = 0 Combine like terms: 8m + -2m = 6m -16 + 6m + -3p = 0 Solving -16 + 6m + -3p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 6m + 16 + -3p = 0 + 16 Reorder the terms: -16 + 16 + 6m + -3p = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 6m + -3p = 0 + 16 6m + -3p = 0 + 16 Combine like terms: 0 + 16 = 16 6m + -3p = 16 Add '3p' to each side of the equation. 6m + -3p + 3p = 16 + 3p Combine like terms: -3p + 3p = 0 6m + 0 = 16 + 3p 6m = 16 + 3p Divide each side by '6'. m = 2.666666667 + 0.5p Simplifying m = 2.666666667 + 0.5p
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