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Simplifying -17 + 6m = 8(7 + -5n) + 5 -17 + 6m = (7 * 8 + -5n * 8) + 5 -17 + 6m = (56 + -40n) + 5 Reorder the terms: -17 + 6m = 56 + 5 + -40n Combine like terms: 56 + 5 = 61 -17 + 6m = 61 + -40n Solving -17 + 6m = 61 + -40n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6m = 61 + 17 + -40n Combine like terms: -17 + 17 = 0 0 + 6m = 61 + 17 + -40n 6m = 61 + 17 + -40n Combine like terms: 61 + 17 = 78 6m = 78 + -40n Divide each side by '6'. m = 13 + -6.666666667n Simplifying m = 13 + -6.666666667n
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