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Simplifying 6(5m + 3n + -4) + 47 = 0 Reorder the terms: 6(-4 + 5m + 3n) + 47 = 0 (-4 * 6 + 5m * 6 + 3n * 6) + 47 = 0 (-24 + 30m + 18n) + 47 = 0 Reorder the terms: -24 + 47 + 30m + 18n = 0 Combine like terms: -24 + 47 = 23 23 + 30m + 18n = 0 Solving 23 + 30m + 18n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 30m + -23 + 18n = 0 + -23 Reorder the terms: 23 + -23 + 30m + 18n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 30m + 18n = 0 + -23 30m + 18n = 0 + -23 Combine like terms: 0 + -23 = -23 30m + 18n = -23 Add '-18n' to each side of the equation. 30m + 18n + -18n = -23 + -18n Combine like terms: 18n + -18n = 0 30m + 0 = -23 + -18n 30m = -23 + -18n Divide each side by '30'. m = -0.7666666667 + -0.6n Simplifying m = -0.7666666667 + -0.6n
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