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Simplifying 7(2n + 4) + 120 = 10(-1(n + 2)) Reorder the terms: 7(4 + 2n) + 120 = 10(-1(n + 2)) (4 * 7 + 2n * 7) + 120 = 10(-1(n + 2)) (28 + 14n) + 120 = 10(-1(n + 2)) Reorder the terms: 28 + 120 + 14n = 10(-1(n + 2)) Combine like terms: 28 + 120 = 148 148 + 14n = 10(-1(n + 2)) Reorder the terms: 148 + 14n = 10(-1(2 + n)) 148 + 14n = 10((2 * -1 + n * -1)) 148 + 14n = 10((-2 + -1n)) 148 + 14n = (-2 * 10 + -1n * 10) 148 + 14n = (-20 + -10n) Solving 148 + 14n = -20 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 148 + 14n + 10n = -20 + -10n + 10n Combine like terms: 14n + 10n = 24n 148 + 24n = -20 + -10n + 10n Combine like terms: -10n + 10n = 0 148 + 24n = -20 + 0 148 + 24n = -20 Add '-148' to each side of the equation. 148 + -148 + 24n = -20 + -148 Combine like terms: 148 + -148 = 0 0 + 24n = -20 + -148 24n = -20 + -148 Combine like terms: -20 + -148 = -168 24n = -168 Divide each side by '24'. n = -7 Simplifying n = -7
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