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Simplifying 6(2n + -4) + -8n + 12 = 2n + 40 Reorder the terms: 6(-4 + 2n) + -8n + 12 = 2n + 40 (-4 * 6 + 2n * 6) + -8n + 12 = 2n + 40 (-24 + 12n) + -8n + 12 = 2n + 40 Reorder the terms: -24 + 12 + 12n + -8n = 2n + 40 Combine like terms: -24 + 12 = -12 -12 + 12n + -8n = 2n + 40 Combine like terms: 12n + -8n = 4n -12 + 4n = 2n + 40 Reorder the terms: -12 + 4n = 40 + 2n Solving -12 + 4n = 40 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -12 + 4n + -2n = 40 + 2n + -2n Combine like terms: 4n + -2n = 2n -12 + 2n = 40 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 2n = 40 + 0 -12 + 2n = 40 Add '12' to each side of the equation. -12 + 12 + 2n = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 40 + 12 2n = 40 + 12 Combine like terms: 40 + 12 = 52 2n = 52 Divide each side by '2'. n = 26 Simplifying n = 26
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