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Simplifying 12n + -2 = 10(n + 5) Reorder the terms: -2 + 12n = 10(n + 5) Reorder the terms: -2 + 12n = 10(5 + n) -2 + 12n = (5 * 10 + n * 10) -2 + 12n = (50 + 10n) Solving -2 + 12n = 50 + 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. -2 + 12n + -10n = 50 + 10n + -10n Combine like terms: 12n + -10n = 2n -2 + 2n = 50 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + 2n = 50 + 0 -2 + 2n = 50 Add '2' to each side of the equation. -2 + 2 + 2n = 50 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 50 + 2 2n = 50 + 2 Combine like terms: 50 + 2 = 52 2n = 52 Divide each side by '2'. n = 26 Simplifying n = 26
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