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Simplifying 8[m + 2n + -1p + -7(2m + -1n + 3p)] = 0 8[m + 2n + -1p + (2m * -7 + -1n * -7 + 3p * -7)] = 0 8[m + 2n + -1p + (-14m + 7n + -21p)] = 0 Reorder the terms: 8[m + -14m + 2n + 7n + -1p + -21p] = 0 Combine like terms: m + -14m = -13m 8[-13m + 2n + 7n + -1p + -21p] = 0 Combine like terms: 2n + 7n = 9n 8[-13m + 9n + -1p + -21p] = 0 Combine like terms: -1p + -21p = -22p 8[-13m + 9n + -22p] = 0 [-13m * 8 + 9n * 8 + -22p * 8] = 0 [-104m + 72n + -176p] = 0 Solving -104m + 72n + -176p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-72n' to each side of the equation. -104m + 72n + -72n + -176p = 0 + -72n Combine like terms: 72n + -72n = 0 -104m + 0 + -176p = 0 + -72n -104m + -176p = 0 + -72n Remove the zero: -104m + -176p = -72n Add '176p' to each side of the equation. -104m + -176p + 176p = -72n + 176p Combine like terms: -176p + 176p = 0 -104m + 0 = -72n + 176p -104m = -72n + 176p Divide each side by '-104'. m = 0.6923076923n + -1.692307692p Simplifying m = 0.6923076923n + -1.692307692p
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