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Simplifying 14 + -1(8n + m) + -7(n + -3) + 4m = 0 Reorder the terms: 14 + -1(m + 8n) + -7(n + -3) + 4m = 0 14 + (m * -1 + 8n * -1) + -7(n + -3) + 4m = 0 14 + (-1m + -8n) + -7(n + -3) + 4m = 0 Reorder the terms: 14 + -1m + -8n + -7(-3 + n) + 4m = 0 14 + -1m + -8n + (-3 * -7 + n * -7) + 4m = 0 14 + -1m + -8n + (21 + -7n) + 4m = 0 Reorder the terms: 14 + 21 + -1m + 4m + -8n + -7n = 0 Combine like terms: 14 + 21 = 35 35 + -1m + 4m + -8n + -7n = 0 Combine like terms: -1m + 4m = 3m 35 + 3m + -8n + -7n = 0 Combine like terms: -8n + -7n = -15n 35 + 3m + -15n = 0 Solving 35 + 3m + -15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 3m + -35 + -15n = 0 + -35 Reorder the terms: 35 + -35 + 3m + -15n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 3m + -15n = 0 + -35 3m + -15n = 0 + -35 Combine like terms: 0 + -35 = -35 3m + -15n = -35 Add '15n' to each side of the equation. 3m + -15n + 15n = -35 + 15n Combine like terms: -15n + 15n = 0 3m + 0 = -35 + 15n 3m = -35 + 15n Divide each side by '3'. m = -11.66666667 + 5n Simplifying m = -11.66666667 + 5n
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