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Simplifying 8(5 + 4m) + 11 = -5(3 + -7n) (5 * 8 + 4m * 8) + 11 = -5(3 + -7n) (40 + 32m) + 11 = -5(3 + -7n) Reorder the terms: 40 + 11 + 32m = -5(3 + -7n) Combine like terms: 40 + 11 = 51 51 + 32m = -5(3 + -7n) 51 + 32m = (3 * -5 + -7n * -5) 51 + 32m = (-15 + 35n) Solving 51 + 32m = -15 + 35n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 32m = -15 + -51 + 35n Combine like terms: 51 + -51 = 0 0 + 32m = -15 + -51 + 35n 32m = -15 + -51 + 35n Combine like terms: -15 + -51 = -66 32m = -66 + 35n Divide each side by '32'. m = -2.0625 + 1.09375n Simplifying m = -2.0625 + 1.09375n
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