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Simplifying 2p + 8m + 24 + 3s + -5m + 12p + -18 = 0 Reorder the terms: 24 + -18 + 8m + -5m + 2p + 12p + 3s = 0 Combine like terms: 24 + -18 = 6 6 + 8m + -5m + 2p + 12p + 3s = 0 Combine like terms: 8m + -5m = 3m 6 + 3m + 2p + 12p + 3s = 0 Combine like terms: 2p + 12p = 14p 6 + 3m + 14p + 3s = 0 Solving 6 + 3m + 14p + 3s = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3m + 14p + -6 + 3s = 0 + -6 Reorder the terms: 6 + -6 + 3m + 14p + 3s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3m + 14p + 3s = 0 + -6 3m + 14p + 3s = 0 + -6 Combine like terms: 0 + -6 = -6 3m + 14p + 3s = -6 Add '-14p' to each side of the equation. 3m + 14p + -14p + 3s = -6 + -14p Combine like terms: 14p + -14p = 0 3m + 0 + 3s = -6 + -14p 3m + 3s = -6 + -14p Add '-3s' to each side of the equation. 3m + 3s + -3s = -6 + -14p + -3s Combine like terms: 3s + -3s = 0 3m + 0 = -6 + -14p + -3s 3m = -6 + -14p + -3s Divide each side by '3'. m = -2 + -4.666666667p + -1s Simplifying m = -2 + -4.666666667p + -1s
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