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Simplifying 3(p + 8m + 30) = 0 Reorder the terms: 3(30 + 8m + p) = 0 (30 * 3 + 8m * 3 + p * 3) = 0 (90 + 24m + 3p) = 0 Solving 90 + 24m + 3p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 24m + -90 + 3p = 0 + -90 Reorder the terms: 90 + -90 + 24m + 3p = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 24m + 3p = 0 + -90 24m + 3p = 0 + -90 Combine like terms: 0 + -90 = -90 24m + 3p = -90 Add '-3p' to each side of the equation. 24m + 3p + -3p = -90 + -3p Combine like terms: 3p + -3p = 0 24m + 0 = -90 + -3p 24m = -90 + -3p Divide each side by '24'. m = -3.75 + -0.125p Simplifying m = -3.75 + -0.125p
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