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Simplifying -12(n + 6) + -12(2n + -10) = 4n + 8n Reorder the terms: -12(6 + n) + -12(2n + -10) = 4n + 8n (6 * -12 + n * -12) + -12(2n + -10) = 4n + 8n (-72 + -12n) + -12(2n + -10) = 4n + 8n Reorder the terms: -72 + -12n + -12(-10 + 2n) = 4n + 8n -72 + -12n + (-10 * -12 + 2n * -12) = 4n + 8n -72 + -12n + (120 + -24n) = 4n + 8n Reorder the terms: -72 + 120 + -12n + -24n = 4n + 8n Combine like terms: -72 + 120 = 48 48 + -12n + -24n = 4n + 8n Combine like terms: -12n + -24n = -36n 48 + -36n = 4n + 8n Combine like terms: 4n + 8n = 12n 48 + -36n = 12n Solving 48 + -36n = 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. 48 + -36n + -12n = 12n + -12n Combine like terms: -36n + -12n = -48n 48 + -48n = 12n + -12n Combine like terms: 12n + -12n = 0 48 + -48n = 0 Add '-48' to each side of the equation. 48 + -48 + -48n = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -48n = 0 + -48 -48n = 0 + -48 Combine like terms: 0 + -48 = -48 -48n = -48 Divide each side by '-48'. n = 1 Simplifying n = 1
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