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Simplifying -12(n + -1) = 2(-12 + -2n) + -5 Reorder the terms: -12(-1 + n) = 2(-12 + -2n) + -5 (-1 * -12 + n * -12) = 2(-12 + -2n) + -5 (12 + -12n) = 2(-12 + -2n) + -5 12 + -12n = (-12 * 2 + -2n * 2) + -5 12 + -12n = (-24 + -4n) + -5 Reorder the terms: 12 + -12n = -24 + -5 + -4n Combine like terms: -24 + -5 = -29 12 + -12n = -29 + -4n Solving 12 + -12n = -29 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12 + -12n + 4n = -29 + -4n + 4n Combine like terms: -12n + 4n = -8n 12 + -8n = -29 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + -8n = -29 + 0 12 + -8n = -29 Add '-12' to each side of the equation. 12 + -12 + -8n = -29 + -12 Combine like terms: 12 + -12 = 0 0 + -8n = -29 + -12 -8n = -29 + -12 Combine like terms: -29 + -12 = -41 -8n = -41 Divide each side by '-8'. n = 5.125 Simplifying n = 5.125
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