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Simplifying 9n + -1(4m + -8) = 53 Reorder the terms: 9n + -1(-8 + 4m) = 53 9n + (-8 * -1 + 4m * -1) = 53 9n + (8 + -4m) = 53 Reorder the terms: 8 + -4m + 9n = 53 Solving 8 + -4m + 9n = 53 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 + -4m + -8 + 9n = 53 + -8 Reorder the terms: 8 + -8 + -4m + 9n = 53 + -8 Combine like terms: 8 + -8 = 0 0 + -4m + 9n = 53 + -8 -4m + 9n = 53 + -8 Combine like terms: 53 + -8 = 45 -4m + 9n = 45 Add '-9n' to each side of the equation. -4m + 9n + -9n = 45 + -9n Combine like terms: 9n + -9n = 0 -4m + 0 = 45 + -9n -4m = 45 + -9n Divide each side by '-4'. m = -11.25 + 2.25n Simplifying m = -11.25 + 2.25n
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