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Simplifying 80 = 7(n + -8) + -4(4 + -3n) Reorder the terms: 80 = 7(-8 + n) + -4(4 + -3n) 80 = (-8 * 7 + n * 7) + -4(4 + -3n) 80 = (-56 + 7n) + -4(4 + -3n) 80 = -56 + 7n + (4 * -4 + -3n * -4) 80 = -56 + 7n + (-16 + 12n) Reorder the terms: 80 = -56 + -16 + 7n + 12n Combine like terms: -56 + -16 = -72 80 = -72 + 7n + 12n Combine like terms: 7n + 12n = 19n 80 = -72 + 19n Solving 80 = -72 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. 80 + -19n = -72 + 19n + -19n Combine like terms: 19n + -19n = 0 80 + -19n = -72 + 0 80 + -19n = -72 Add '-80' to each side of the equation. 80 + -80 + -19n = -72 + -80 Combine like terms: 80 + -80 = 0 0 + -19n = -72 + -80 -19n = -72 + -80 Combine like terms: -72 + -80 = -152 -19n = -152 Divide each side by '-19'. n = 8 Simplifying n = 8
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