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Simplifying 7(4 + 3n) + 4(2n + -2) = 49 (4 * 7 + 3n * 7) + 4(2n + -2) = 49 (28 + 21n) + 4(2n + -2) = 49 Reorder the terms: 28 + 21n + 4(-2 + 2n) = 49 28 + 21n + (-2 * 4 + 2n * 4) = 49 28 + 21n + (-8 + 8n) = 49 Reorder the terms: 28 + -8 + 21n + 8n = 49 Combine like terms: 28 + -8 = 20 20 + 21n + 8n = 49 Combine like terms: 21n + 8n = 29n 20 + 29n = 49 Solving 20 + 29n = 49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 29n = 49 + -20 Combine like terms: 20 + -20 = 0 0 + 29n = 49 + -20 29n = 49 + -20 Combine like terms: 49 + -20 = 29 29n = 29 Divide each side by '29'. n = 1 Simplifying n = 1
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