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Simplifying 10m + 8p + -152.5 = 8m + 12p + -171 Reorder the terms: -152.5 + 10m + 8p = 8m + 12p + -171 Reorder the terms: -152.5 + 10m + 8p = -171 + 8m + 12p Solving -152.5 + 10m + 8p = -171 + 8m + 12p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -152.5 + 10m + -8m + 8p = -171 + 8m + -8m + 12p Combine like terms: 10m + -8m = 2m -152.5 + 2m + 8p = -171 + 8m + -8m + 12p Combine like terms: 8m + -8m = 0 -152.5 + 2m + 8p = -171 + 0 + 12p -152.5 + 2m + 8p = -171 + 12p Add '152.5' to each side of the equation. -152.5 + 2m + 152.5 + 8p = -171 + 152.5 + 12p Reorder the terms: -152.5 + 152.5 + 2m + 8p = -171 + 152.5 + 12p Combine like terms: -152.5 + 152.5 = 0.0 0.0 + 2m + 8p = -171 + 152.5 + 12p 2m + 8p = -171 + 152.5 + 12p Combine like terms: -171 + 152.5 = -18.5 2m + 8p = -18.5 + 12p Add '-8p' to each side of the equation. 2m + 8p + -8p = -18.5 + 12p + -8p Combine like terms: 8p + -8p = 0 2m + 0 = -18.5 + 12p + -8p 2m = -18.5 + 12p + -8p Combine like terms: 12p + -8p = 4p 2m = -18.5 + 4p Divide each side by '2'. m = -9.25 + 2p Simplifying m = -9.25 + 2p
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