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Simplifying 3m + -2n + -1p + 5m + 3n + -6p = 0 Reorder the terms: 3m + 5m + -2n + 3n + -1p + -6p = 0 Combine like terms: 3m + 5m = 8m 8m + -2n + 3n + -1p + -6p = 0 Combine like terms: -2n + 3n = 1n 8m + 1n + -1p + -6p = 0 Combine like terms: -1p + -6p = -7p 8m + 1n + -7p = 0 Solving 8m + 1n + -7p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 8m + 1n + -1n + -7p = 0 + -1n Combine like terms: 1n + -1n = 0 8m + 0 + -7p = 0 + -1n 8m + -7p = 0 + -1n Remove the zero: 8m + -7p = -1n Add '7p' to each side of the equation. 8m + -7p + 7p = -1n + 7p Combine like terms: -7p + 7p = 0 8m + 0 = -1n + 7p 8m = -1n + 7p Divide each side by '8'. m = -0.125n + 0.875p Simplifying m = -0.125n + 0.875p
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