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Simplifying 8(4m + 9n + -2) + 63 = 0 Reorder the terms: 8(-2 + 4m + 9n) + 63 = 0 (-2 * 8 + 4m * 8 + 9n * 8) + 63 = 0 (-16 + 32m + 72n) + 63 = 0 Reorder the terms: -16 + 63 + 32m + 72n = 0 Combine like terms: -16 + 63 = 47 47 + 32m + 72n = 0 Solving 47 + 32m + 72n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + 32m + -47 + 72n = 0 + -47 Reorder the terms: 47 + -47 + 32m + 72n = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 32m + 72n = 0 + -47 32m + 72n = 0 + -47 Combine like terms: 0 + -47 = -47 32m + 72n = -47 Add '-72n' to each side of the equation. 32m + 72n + -72n = -47 + -72n Combine like terms: 72n + -72n = 0 32m + 0 = -47 + -72n 32m = -47 + -72n Divide each side by '32'. m = -1.46875 + -2.25n Simplifying m = -1.46875 + -2.25n
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