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Simplifying 8m + -1(5n + 8) = 1 Reorder the terms: 8m + -1(8 + 5n) = 1 8m + (8 * -1 + 5n * -1) = 1 8m + (-8 + -5n) = 1 Reorder the terms: -8 + 8m + -5n = 1 Solving -8 + 8m + -5n = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8m + 8 + -5n = 1 + 8 Reorder the terms: -8 + 8 + 8m + -5n = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 8m + -5n = 1 + 8 8m + -5n = 1 + 8 Combine like terms: 1 + 8 = 9 8m + -5n = 9 Add '5n' to each side of the equation. 8m + -5n + 5n = 9 + 5n Combine like terms: -5n + 5n = 0 8m + 0 = 9 + 5n 8m = 9 + 5n Divide each side by '8'. m = 1.125 + 0.625n Simplifying m = 1.125 + 0.625n
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