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Simplifying 2(-7 + 6n) + 24 = 2(n + -10) (-7 * 2 + 6n * 2) + 24 = 2(n + -10) (-14 + 12n) + 24 = 2(n + -10) Reorder the terms: -14 + 24 + 12n = 2(n + -10) Combine like terms: -14 + 24 = 10 10 + 12n = 2(n + -10) Reorder the terms: 10 + 12n = 2(-10 + n) 10 + 12n = (-10 * 2 + n * 2) 10 + 12n = (-20 + 2n) Solving 10 + 12n = -20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 10 + 12n + -2n = -20 + 2n + -2n Combine like terms: 12n + -2n = 10n 10 + 10n = -20 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 10n = -20 + 0 10 + 10n = -20 Add '-10' to each side of the equation. 10 + -10 + 10n = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 10n = -20 + -10 10n = -20 + -10 Combine like terms: -20 + -10 = -30 10n = -30 Divide each side by '10'. n = -3 Simplifying n = -3
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