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Simplifying 12n + 10 = 2(n + 1) Reorder the terms: 10 + 12n = 2(n + 1) Reorder the terms: 10 + 12n = 2(1 + n) 10 + 12n = (1 * 2 + n * 2) 10 + 12n = (2 + 2n) Solving 10 + 12n = 2 + 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 = 2 + 2n + -2n Combine like terms: 12n + -2n = 10n 10 + 10n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 10n = 2 + 0 10 + 10n = 2 Add '-10' to each side of the equation. 10 + -10 + 10n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 10n = 2 + -10 10n = 2 + -10 Combine like terms: 2 + -10 = -8 10n = -8 Divide each side by '10'. n = -0.8 Simplifying n = -0.8
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