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Simplifying 6(2n + -2) = (8n + 3) + 1 Reorder the terms: 6(-2 + 2n) = (8n + 3) + 1 (-2 * 6 + 2n * 6) = (8n + 3) + 1 (-12 + 12n) = (8n + 3) + 1 Reorder the terms: -12 + 12n = (3 + 8n) + 1 Remove parenthesis around (3 + 8n) -12 + 12n = 3 + 8n + 1 Reorder the terms: -12 + 12n = 3 + 1 + 8n Combine like terms: 3 + 1 = 4 -12 + 12n = 4 + 8n Solving -12 + 12n = 4 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -12 + 12n + -8n = 4 + 8n + -8n Combine like terms: 12n + -8n = 4n -12 + 4n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 4n = 4 + 0 -12 + 4n = 4 Add '12' to each side of the equation. -12 + 12 + 4n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 4 + 12 4n = 4 + 12 Combine like terms: 4 + 12 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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