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Simplifying 7(m + 5n + 4) + -3(-2m + 10n) = 0 Reorder the terms: 7(4 + m + 5n) + -3(-2m + 10n) = 0 (4 * 7 + m * 7 + 5n * 7) + -3(-2m + 10n) = 0 (28 + 7m + 35n) + -3(-2m + 10n) = 0 28 + 7m + 35n + (-2m * -3 + 10n * -3) = 0 28 + 7m + 35n + (6m + -30n) = 0 Reorder the terms: 28 + 7m + 6m + 35n + -30n = 0 Combine like terms: 7m + 6m = 13m 28 + 13m + 35n + -30n = 0 Combine like terms: 35n + -30n = 5n 28 + 13m + 5n = 0 Solving 28 + 13m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 13m + -28 + 5n = 0 + -28 Reorder the terms: 28 + -28 + 13m + 5n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 13m + 5n = 0 + -28 13m + 5n = 0 + -28 Combine like terms: 0 + -28 = -28 13m + 5n = -28 Add '-5n' to each side of the equation. 13m + 5n + -5n = -28 + -5n Combine like terms: 5n + -5n = 0 13m + 0 = -28 + -5n 13m = -28 + -5n Divide each side by '13'. m = -2.153846154 + -0.3846153846n Simplifying m = -2.153846154 + -0.3846153846n
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