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Simplifying 5n + -12(n + 3) = -8(n + 20) Reorder the terms: 5n + -12(3 + n) = -8(n + 20) 5n + (3 * -12 + n * -12) = -8(n + 20) 5n + (-36 + -12n) = -8(n + 20) Reorder the terms: -36 + 5n + -12n = -8(n + 20) Combine like terms: 5n + -12n = -7n -36 + -7n = -8(n + 20) Reorder the terms: -36 + -7n = -8(20 + n) -36 + -7n = (20 * -8 + n * -8) -36 + -7n = (-160 + -8n) Solving -36 + -7n = -160 + -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. -36 + -7n + 8n = -160 + -8n + 8n Combine like terms: -7n + 8n = 1n -36 + 1n = -160 + -8n + 8n Combine like terms: -8n + 8n = 0 -36 + 1n = -160 + 0 -36 + 1n = -160 Add '36' to each side of the equation. -36 + 36 + 1n = -160 + 36 Combine like terms: -36 + 36 = 0 0 + 1n = -160 + 36 1n = -160 + 36 Combine like terms: -160 + 36 = -124 1n = -124 Divide each side by '1'. n = -124 Simplifying n = -124
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