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Simplifying 4(1 + -3n + -14) = 4(2n + 3) + -9 Reorder the terms: 4(1 + -14 + -3n) = 4(2n + 3) + -9 Combine like terms: 1 + -14 = -13 4(-13 + -3n) = 4(2n + 3) + -9 (-13 * 4 + -3n * 4) = 4(2n + 3) + -9 (-52 + -12n) = 4(2n + 3) + -9 Reorder the terms: -52 + -12n = 4(3 + 2n) + -9 -52 + -12n = (3 * 4 + 2n * 4) + -9 -52 + -12n = (12 + 8n) + -9 Reorder the terms: -52 + -12n = 12 + -9 + 8n Combine like terms: 12 + -9 = 3 -52 + -12n = 3 + 8n Solving -52 + -12n = 3 + 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. -52 + -12n + -8n = 3 + 8n + -8n Combine like terms: -12n + -8n = -20n -52 + -20n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 -52 + -20n = 3 + 0 -52 + -20n = 3 Add '52' to each side of the equation. -52 + 52 + -20n = 3 + 52 Combine like terms: -52 + 52 = 0 0 + -20n = 3 + 52 -20n = 3 + 52 Combine like terms: 3 + 52 = 55 -20n = 55 Divide each side by '-20'. n = -2.75 Simplifying n = -2.75
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