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Simplifying -8m + -4n + -8p + -5 = -5n + -1p + 6 Reorder the terms: -5 + -8m + -4n + -8p = -5n + -1p + 6 Reorder the terms: -5 + -8m + -4n + -8p = 6 + -5n + -1p Solving -5 + -8m + -4n + -8p = 6 + -5n + -1p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -8m + -4n + 5 + -8p = 6 + -5n + 5 + -1p Reorder the terms: -5 + 5 + -8m + -4n + -8p = 6 + -5n + 5 + -1p Combine like terms: -5 + 5 = 0 0 + -8m + -4n + -8p = 6 + -5n + 5 + -1p -8m + -4n + -8p = 6 + -5n + 5 + -1p Reorder the terms: -8m + -4n + -8p = 6 + 5 + -5n + -1p Combine like terms: 6 + 5 = 11 -8m + -4n + -8p = 11 + -5n + -1p Add '4n' to each side of the equation. -8m + -4n + 4n + -8p = 11 + -5n + 4n + -1p Combine like terms: -4n + 4n = 0 -8m + 0 + -8p = 11 + -5n + 4n + -1p -8m + -8p = 11 + -5n + 4n + -1p Combine like terms: -5n + 4n = -1n -8m + -8p = 11 + -1n + -1p Add '8p' to each side of the equation. -8m + -8p + 8p = 11 + -1n + -1p + 8p Combine like terms: -8p + 8p = 0 -8m + 0 = 11 + -1n + -1p + 8p -8m = 11 + -1n + -1p + 8p Combine like terms: -1p + 8p = 7p -8m = 11 + -1n + 7p Divide each side by '-8'. m = -1.375 + 0.125n + -0.875p Simplifying m = -1.375 + 0.125n + -0.875p
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