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Simplifying -8m + 7n + -12 + -1(-3m) + -10 + -15n = 0 Remove parenthesis around (-3m) -8m + 7n + -12 + -1 * -3m + -10 + -15n = 0 Multiply -1 * -3 -8m + 7n + -12 + 3m + -10 + -15n = 0 Reorder the terms: -12 + -10 + -8m + 3m + 7n + -15n = 0 Combine like terms: -12 + -10 = -22 -22 + -8m + 3m + 7n + -15n = 0 Combine like terms: -8m + 3m = -5m -22 + -5m + 7n + -15n = 0 Combine like terms: 7n + -15n = -8n -22 + -5m + -8n = 0 Solving -22 + -5m + -8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -5m + 22 + -8n = 0 + 22 Reorder the terms: -22 + 22 + -5m + -8n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -5m + -8n = 0 + 22 -5m + -8n = 0 + 22 Combine like terms: 0 + 22 = 22 -5m + -8n = 22 Add '8n' to each side of the equation. -5m + -8n + 8n = 22 + 8n Combine like terms: -8n + 8n = 0 -5m + 0 = 22 + 8n -5m = 22 + 8n Divide each side by '-5'. m = -4.4 + -1.6n Simplifying m = -4.4 + -1.6n
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