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Simplifying 63 = -3(1 + 2n) + -1(8n + 4) 63 = (1 * -3 + 2n * -3) + -1(8n + 4) 63 = (-3 + -6n) + -1(8n + 4) Reorder the terms: 63 = -3 + -6n + -1(4 + 8n) 63 = -3 + -6n + (4 * -1 + 8n * -1) 63 = -3 + -6n + (-4 + -8n) Reorder the terms: 63 = -3 + -4 + -6n + -8n Combine like terms: -3 + -4 = -7 63 = -7 + -6n + -8n Combine like terms: -6n + -8n = -14n 63 = -7 + -14n Solving 63 = -7 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 63 + 14n = -7 + -14n + 14n Combine like terms: -14n + 14n = 0 63 + 14n = -7 + 0 63 + 14n = -7 Add '-63' to each side of the equation. 63 + -63 + 14n = -7 + -63 Combine like terms: 63 + -63 = 0 0 + 14n = -7 + -63 14n = -7 + -63 Combine like terms: -7 + -63 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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