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Simplifying -7 + 4(n + -1) = -5(-1n + 5) + -8n Reorder the terms: -7 + 4(-1 + n) = -5(-1n + 5) + -8n -7 + (-1 * 4 + n * 4) = -5(-1n + 5) + -8n -7 + (-4 + 4n) = -5(-1n + 5) + -8n Combine like terms: -7 + -4 = -11 -11 + 4n = -5(-1n + 5) + -8n Reorder the terms: -11 + 4n = -5(5 + -1n) + -8n -11 + 4n = (5 * -5 + -1n * -5) + -8n -11 + 4n = (-25 + 5n) + -8n Combine like terms: 5n + -8n = -3n -11 + 4n = -25 + -3n Solving -11 + 4n = -25 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -11 + 4n + 3n = -25 + -3n + 3n Combine like terms: 4n + 3n = 7n -11 + 7n = -25 + -3n + 3n Combine like terms: -3n + 3n = 0 -11 + 7n = -25 + 0 -11 + 7n = -25 Add '11' to each side of the equation. -11 + 11 + 7n = -25 + 11 Combine like terms: -11 + 11 = 0 0 + 7n = -25 + 11 7n = -25 + 11 Combine like terms: -25 + 11 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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