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Simplifying 4 = -8(n + -3) + -4(2n + 5) Reorder the terms: 4 = -8(-3 + n) + -4(2n + 5) 4 = (-3 * -8 + n * -8) + -4(2n + 5) 4 = (24 + -8n) + -4(2n + 5) Reorder the terms: 4 = 24 + -8n + -4(5 + 2n) 4 = 24 + -8n + (5 * -4 + 2n * -4) 4 = 24 + -8n + (-20 + -8n) Reorder the terms: 4 = 24 + -20 + -8n + -8n Combine like terms: 24 + -20 = 4 4 = 4 + -8n + -8n Combine like terms: -8n + -8n = -16n 4 = 4 + -16n Add '-4' to each side of the equation. 4 + -4 = 4 + -4 + -16n Combine like terms: 4 + -4 = 0 0 = 4 + -4 + -16n Combine like terms: 4 + -4 = 0 0 = 0 + -16n 0 = -16n Solving 0 = -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 0 + 16n = -16n + 16n Remove the zero: 16n = -16n + 16n Combine like terms: -16n + 16n = 0 16n = 0 Divide each side by '16'. n = 0 Simplifying n = 0
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