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Simplifying -7(n + 3) + -1(1 + 8n) * 8 = 0 Reorder the terms: -7(3 + n) + -1(1 + 8n) * 8 = 0 (3 * -7 + n * -7) + -1(1 + 8n) * 8 = 0 (-21 + -7n) + -1(1 + 8n) * 8 = 0 Reorder the terms for easier multiplication: -21 + -7n + -1 * 8(1 + 8n) = 0 Multiply -1 * 8 -21 + -7n + -8(1 + 8n) = 0 -21 + -7n + (1 * -8 + 8n * -8) = 0 -21 + -7n + (-8 + -64n) = 0 Reorder the terms: -21 + -8 + -7n + -64n = 0 Combine like terms: -21 + -8 = -29 -29 + -7n + -64n = 0 Combine like terms: -7n + -64n = -71n -29 + -71n = 0 Solving -29 + -71n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -71n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -71n = 0 + 29 -71n = 0 + 29 Combine like terms: 0 + 29 = 29 -71n = 29 Divide each side by '-71'. n = -0.4084507042 Simplifying n = -0.4084507042
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