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Simplifying -4(5n + 3) = 4(2 + 2n) Reorder the terms: -4(3 + 5n) = 4(2 + 2n) (3 * -4 + 5n * -4) = 4(2 + 2n) (-12 + -20n) = 4(2 + 2n) -12 + -20n = (2 * 4 + 2n * 4) -12 + -20n = (8 + 8n) Solving -12 + -20n = 8 + 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 + -20n + -8n = 8 + 8n + -8n Combine like terms: -20n + -8n = -28n -12 + -28n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -28n = 8 + 0 -12 + -28n = 8 Add '12' to each side of the equation. -12 + 12 + -28n = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -28n = 8 + 12 -28n = 8 + 12 Combine like terms: 8 + 12 = 20 -28n = 20 Divide each side by '-28'. n = -0.7142857143 Simplifying n = -0.7142857143
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