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Simplifying 7(5m + 8n + -2) + 30 = 0 Reorder the terms: 7(-2 + 5m + 8n) + 30 = 0 (-2 * 7 + 5m * 7 + 8n * 7) + 30 = 0 (-14 + 35m + 56n) + 30 = 0 Reorder the terms: -14 + 30 + 35m + 56n = 0 Combine like terms: -14 + 30 = 16 16 + 35m + 56n = 0 Solving 16 + 35m + 56n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 35m + -16 + 56n = 0 + -16 Reorder the terms: 16 + -16 + 35m + 56n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 35m + 56n = 0 + -16 35m + 56n = 0 + -16 Combine like terms: 0 + -16 = -16 35m + 56n = -16 Add '-56n' to each side of the equation. 35m + 56n + -56n = -16 + -56n Combine like terms: 56n + -56n = 0 35m + 0 = -16 + -56n 35m = -16 + -56n Divide each side by '35'. m = -0.4571428571 + -1.6n Simplifying m = -0.4571428571 + -1.6n
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