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Simplifying 111 = -7n + 8(4n + -8) Reorder the terms: 111 = -7n + 8(-8 + 4n) 111 = -7n + (-8 * 8 + 4n * 8) 111 = -7n + (-64 + 32n) Reorder the terms: 111 = -64 + -7n + 32n Combine like terms: -7n + 32n = 25n 111 = -64 + 25n Solving 111 = -64 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 111 + -25n = -64 + 25n + -25n Combine like terms: 25n + -25n = 0 111 + -25n = -64 + 0 111 + -25n = -64 Add '-111' to each side of the equation. 111 + -111 + -25n = -64 + -111 Combine like terms: 111 + -111 = 0 0 + -25n = -64 + -111 -25n = -64 + -111 Combine like terms: -64 + -111 = -175 -25n = -175 Divide each side by '-25'. n = 7 Simplifying n = 7
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