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Simplifying -69 = 4(7 + 8n) + -1(n + 4) -69 = (7 * 4 + 8n * 4) + -1(n + 4) -69 = (28 + 32n) + -1(n + 4) Reorder the terms: -69 = 28 + 32n + -1(4 + n) -69 = 28 + 32n + (4 * -1 + n * -1) -69 = 28 + 32n + (-4 + -1n) Reorder the terms: -69 = 28 + -4 + 32n + -1n Combine like terms: 28 + -4 = 24 -69 = 24 + 32n + -1n Combine like terms: 32n + -1n = 31n -69 = 24 + 31n Solving -69 = 24 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. -69 + -31n = 24 + 31n + -31n Combine like terms: 31n + -31n = 0 -69 + -31n = 24 + 0 -69 + -31n = 24 Add '69' to each side of the equation. -69 + 69 + -31n = 24 + 69 Combine like terms: -69 + 69 = 0 0 + -31n = 24 + 69 -31n = 24 + 69 Combine like terms: 24 + 69 = 93 -31n = 93 Divide each side by '-31'. n = -3 Simplifying n = -3
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