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Simplifying 5 + 2(n + -1) = 12n + -24 Reorder the terms: 5 + 2(-1 + n) = 12n + -24 5 + (-1 * 2 + n * 2) = 12n + -24 5 + (-2 + 2n) = 12n + -24 Combine like terms: 5 + -2 = 3 3 + 2n = 12n + -24 Reorder the terms: 3 + 2n = -24 + 12n Solving 3 + 2n = -24 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 3 + 2n + -12n = -24 + 12n + -12n Combine like terms: 2n + -12n = -10n 3 + -10n = -24 + 12n + -12n Combine like terms: 12n + -12n = 0 3 + -10n = -24 + 0 3 + -10n = -24 Add '-3' to each side of the equation. 3 + -3 + -10n = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -10n = -24 + -3 -10n = -24 + -3 Combine like terms: -24 + -3 = -27 -10n = -27 Divide each side by '-10'. n = 2.7 Simplifying n = 2.7
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