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Simplifying -2(-6n + 7) + 3 = 5(1 + 2n) Reorder the terms: -2(7 + -6n) + 3 = 5(1 + 2n) (7 * -2 + -6n * -2) + 3 = 5(1 + 2n) (-14 + 12n) + 3 = 5(1 + 2n) Reorder the terms: -14 + 3 + 12n = 5(1 + 2n) Combine like terms: -14 + 3 = -11 -11 + 12n = 5(1 + 2n) -11 + 12n = (1 * 5 + 2n * 5) -11 + 12n = (5 + 10n) Solving -11 + 12n = 5 + 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. -11 + 12n + -10n = 5 + 10n + -10n Combine like terms: 12n + -10n = 2n -11 + 2n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 -11 + 2n = 5 + 0 -11 + 2n = 5 Add '11' to each side of the equation. -11 + 11 + 2n = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2n = 5 + 11 2n = 5 + 11 Combine like terms: 5 + 11 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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