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Simplifying 4(4n + -3) = 4(2n + -5) Reorder the terms: 4(-3 + 4n) = 4(2n + -5) (-3 * 4 + 4n * 4) = 4(2n + -5) (-12 + 16n) = 4(2n + -5) Reorder the terms: -12 + 16n = 4(-5 + 2n) -12 + 16n = (-5 * 4 + 2n * 4) -12 + 16n = (-20 + 8n) Solving -12 + 16n = -20 + 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 + 16n + -8n = -20 + 8n + -8n Combine like terms: 16n + -8n = 8n -12 + 8n = -20 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 8n = -20 + 0 -12 + 8n = -20 Add '12' to each side of the equation. -12 + 12 + 8n = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = -20 + 12 8n = -20 + 12 Combine like terms: -20 + 12 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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