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Simplifying -7(n + 3) + -8(1 + 8n) = 681 Reorder the terms: -7(3 + n) + -8(1 + 8n) = 681 (3 * -7 + n * -7) + -8(1 + 8n) = 681 (-21 + -7n) + -8(1 + 8n) = 681 -21 + -7n + (1 * -8 + 8n * -8) = 681 -21 + -7n + (-8 + -64n) = 681 Reorder the terms: -21 + -8 + -7n + -64n = 681 Combine like terms: -21 + -8 = -29 -29 + -7n + -64n = 681 Combine like terms: -7n + -64n = -71n -29 + -71n = 681 Solving -29 + -71n = 681 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 = 681 + 29 Combine like terms: -29 + 29 = 0 0 + -71n = 681 + 29 -71n = 681 + 29 Combine like terms: 681 + 29 = 710 -71n = 710 Divide each side by '-71'. n = -10 Simplifying n = -10
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