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Simplifying 12n + 10 = 2(5n + 1) Reorder the terms: 10 + 12n = 2(5n + 1) Reorder the terms: 10 + 12n = 2(1 + 5n) 10 + 12n = (1 * 2 + 5n * 2) 10 + 12n = (2 + 10n) Solving 10 + 12n = 2 + 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. 10 + 12n + -10n = 2 + 10n + -10n Combine like terms: 12n + -10n = 2n 10 + 2n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 10 + 2n = 2 + 0 10 + 2n = 2 Add '-10' to each side of the equation. 10 + -10 + 2n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 2 + -10 2n = 2 + -10 Combine like terms: 2 + -10 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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