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Simplifying 12n + -6(8n + 8) = -12(5n + -8) Reorder the terms: 12n + -6(8 + 8n) = -12(5n + -8) 12n + (8 * -6 + 8n * -6) = -12(5n + -8) 12n + (-48 + -48n) = -12(5n + -8) Reorder the terms: -48 + 12n + -48n = -12(5n + -8) Combine like terms: 12n + -48n = -36n -48 + -36n = -12(5n + -8) Reorder the terms: -48 + -36n = -12(-8 + 5n) -48 + -36n = (-8 * -12 + 5n * -12) -48 + -36n = (96 + -60n) Solving -48 + -36n = 96 + -60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60n' to each side of the equation. -48 + -36n + 60n = 96 + -60n + 60n Combine like terms: -36n + 60n = 24n -48 + 24n = 96 + -60n + 60n Combine like terms: -60n + 60n = 0 -48 + 24n = 96 + 0 -48 + 24n = 96 Add '48' to each side of the equation. -48 + 48 + 24n = 96 + 48 Combine like terms: -48 + 48 = 0 0 + 24n = 96 + 48 24n = 96 + 48 Combine like terms: 96 + 48 = 144 24n = 144 Divide each side by '24'. n = 6 Simplifying n = 6
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