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Simplifying 8(n + 6) + -3(5n + -5) = 63 Reorder the terms: 8(6 + n) + -3(5n + -5) = 63 (6 * 8 + n * 8) + -3(5n + -5) = 63 (48 + 8n) + -3(5n + -5) = 63 Reorder the terms: 48 + 8n + -3(-5 + 5n) = 63 48 + 8n + (-5 * -3 + 5n * -3) = 63 48 + 8n + (15 + -15n) = 63 Reorder the terms: 48 + 15 + 8n + -15n = 63 Combine like terms: 48 + 15 = 63 63 + 8n + -15n = 63 Combine like terms: 8n + -15n = -7n 63 + -7n = 63 Add '-63' to each side of the equation. 63 + -63 + -7n = 63 + -63 Combine like terms: 63 + -63 = 0 0 + -7n = 63 + -63 -7n = 63 + -63 Combine like terms: 63 + -63 = 0 -7n = 0 Solving -7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-7'. n = 0 Simplifying n = 0
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