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Simplifying -8(n + 8) + -1(4n + -7) = -5n Reorder the terms: -8(8 + n) + -1(4n + -7) = -5n (8 * -8 + n * -8) + -1(4n + -7) = -5n (-64 + -8n) + -1(4n + -7) = -5n Reorder the terms: -64 + -8n + -1(-7 + 4n) = -5n -64 + -8n + (-7 * -1 + 4n * -1) = -5n -64 + -8n + (7 + -4n) = -5n Reorder the terms: -64 + 7 + -8n + -4n = -5n Combine like terms: -64 + 7 = -57 -57 + -8n + -4n = -5n Combine like terms: -8n + -4n = -12n -57 + -12n = -5n Solving -57 + -12n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -57 + -12n + 5n = -5n + 5n Combine like terms: -12n + 5n = -7n -57 + -7n = -5n + 5n Combine like terms: -5n + 5n = 0 -57 + -7n = 0 Add '57' to each side of the equation. -57 + 57 + -7n = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -7n = 0 + 57 -7n = 0 + 57 Combine like terms: 0 + 57 = 57 -7n = 57 Divide each side by '-7'. n = -8.142857143 Simplifying n = -8.142857143
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