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Simplifying 5(1 + 2n) = 17 + 12n (1 * 5 + 2n * 5) = 17 + 12n (5 + 10n) = 17 + 12n Solving 5 + 10n = 17 + 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. 5 + 10n + -12n = 17 + 12n + -12n Combine like terms: 10n + -12n = -2n 5 + -2n = 17 + 12n + -12n Combine like terms: 12n + -12n = 0 5 + -2n = 17 + 0 5 + -2n = 17 Add '-5' to each side of the equation. 5 + -5 + -2n = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 17 + -5 -2n = 17 + -5 Combine like terms: 17 + -5 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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