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Simplifying 8(7m + 3n + -6) + 94 = 0 Reorder the terms: 8(-6 + 7m + 3n) + 94 = 0 (-6 * 8 + 7m * 8 + 3n * 8) + 94 = 0 (-48 + 56m + 24n) + 94 = 0 Reorder the terms: -48 + 94 + 56m + 24n = 0 Combine like terms: -48 + 94 = 46 46 + 56m + 24n = 0 Solving 46 + 56m + 24n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 56m + -46 + 24n = 0 + -46 Reorder the terms: 46 + -46 + 56m + 24n = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 56m + 24n = 0 + -46 56m + 24n = 0 + -46 Combine like terms: 0 + -46 = -46 56m + 24n = -46 Add '-24n' to each side of the equation. 56m + 24n + -24n = -46 + -24n Combine like terms: 24n + -24n = 0 56m + 0 = -46 + -24n 56m = -46 + -24n Divide each side by '56'. m = -0.8214285714 + -0.4285714286n Simplifying m = -0.8214285714 + -0.4285714286n
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