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Simplifying 5(-2n + 4) + -2(n + 3) = n Reorder the terms: 5(4 + -2n) + -2(n + 3) = n (4 * 5 + -2n * 5) + -2(n + 3) = n (20 + -10n) + -2(n + 3) = n Reorder the terms: 20 + -10n + -2(3 + n) = n 20 + -10n + (3 * -2 + n * -2) = n 20 + -10n + (-6 + -2n) = n Reorder the terms: 20 + -6 + -10n + -2n = n Combine like terms: 20 + -6 = 14 14 + -10n + -2n = n Combine like terms: -10n + -2n = -12n 14 + -12n = n Solving 14 + -12n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 14 + -12n + -1n = n + -1n Combine like terms: -12n + -1n = -13n 14 + -13n = n + -1n Combine like terms: n + -1n = 0 14 + -13n = 0 Add '-14' to each side of the equation. 14 + -14 + -13n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -13n = 0 + -14 -13n = 0 + -14 Combine like terms: 0 + -14 = -14 -13n = -14 Divide each side by '-13'. n = 1.076923077 Simplifying n = 1.076923077
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