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Simplifying -7(8n + 4) + 8(-3n + 5) = -68 Reorder the terms: -7(4 + 8n) + 8(-3n + 5) = -68 (4 * -7 + 8n * -7) + 8(-3n + 5) = -68 (-28 + -56n) + 8(-3n + 5) = -68 Reorder the terms: -28 + -56n + 8(5 + -3n) = -68 -28 + -56n + (5 * 8 + -3n * 8) = -68 -28 + -56n + (40 + -24n) = -68 Reorder the terms: -28 + 40 + -56n + -24n = -68 Combine like terms: -28 + 40 = 12 12 + -56n + -24n = -68 Combine like terms: -56n + -24n = -80n 12 + -80n = -68 Solving 12 + -80n = -68 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -80n = -68 + -12 Combine like terms: 12 + -12 = 0 0 + -80n = -68 + -12 -80n = -68 + -12 Combine like terms: -68 + -12 = -80 -80n = -80 Divide each side by '-80'. n = 1 Simplifying n = 1
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