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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 = 7 7 + 2n = 12n + -24 Reorder the terms: 7 + 2n = -24 + 12n Solving 7 + 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. 7 + 2n + -12n = -24 + 12n + -12n Combine like terms: 2n + -12n = -10n 7 + -10n = -24 + 12n + -12n Combine like terms: 12n + -12n = 0 7 + -10n = -24 + 0 7 + -10n = -24 Add '-7' to each side of the equation. 7 + -7 + -10n = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -10n = -24 + -7 -10n = -24 + -7 Combine like terms: -24 + -7 = -31 -10n = -31 Divide each side by '-10'. n = 3.1 Simplifying n = 3.1
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