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Simplifying -1(n + 4) + 12n = 24 + -6n + -4(2n + -2) Reorder the terms: -1(4 + n) + 12n = 24 + -6n + -4(2n + -2) (4 * -1 + n * -1) + 12n = 24 + -6n + -4(2n + -2) (-4 + -1n) + 12n = 24 + -6n + -4(2n + -2) Combine like terms: -1n + 12n = 11n -4 + 11n = 24 + -6n + -4(2n + -2) Reorder the terms: -4 + 11n = 24 + -6n + -4(-2 + 2n) -4 + 11n = 24 + -6n + (-2 * -4 + 2n * -4) -4 + 11n = 24 + -6n + (8 + -8n) Reorder the terms: -4 + 11n = 24 + 8 + -6n + -8n Combine like terms: 24 + 8 = 32 -4 + 11n = 32 + -6n + -8n Combine like terms: -6n + -8n = -14n -4 + 11n = 32 + -14n Solving -4 + 11n = 32 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -4 + 11n + 14n = 32 + -14n + 14n Combine like terms: 11n + 14n = 25n -4 + 25n = 32 + -14n + 14n Combine like terms: -14n + 14n = 0 -4 + 25n = 32 + 0 -4 + 25n = 32 Add '4' to each side of the equation. -4 + 4 + 25n = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 25n = 32 + 4 25n = 32 + 4 Combine like terms: 32 + 4 = 36 25n = 36 Divide each side by '25'. n = 1.44 Simplifying n = 1.44
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