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Simplifying 3(-9 + -4n) + -4 = 8n + -9(n + 2) (-9 * 3 + -4n * 3) + -4 = 8n + -9(n + 2) (-27 + -12n) + -4 = 8n + -9(n + 2) Reorder the terms: -27 + -4 + -12n = 8n + -9(n + 2) Combine like terms: -27 + -4 = -31 -31 + -12n = 8n + -9(n + 2) Reorder the terms: -31 + -12n = 8n + -9(2 + n) -31 + -12n = 8n + (2 * -9 + n * -9) -31 + -12n = 8n + (-18 + -9n) Reorder the terms: -31 + -12n = -18 + 8n + -9n Combine like terms: 8n + -9n = -1n -31 + -12n = -18 + -1n Solving -31 + -12n = -18 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -31 + -12n + n = -18 + -1n + n Combine like terms: -12n + n = -11n -31 + -11n = -18 + -1n + n Combine like terms: -1n + n = 0 -31 + -11n = -18 + 0 -31 + -11n = -18 Add '31' to each side of the equation. -31 + 31 + -11n = -18 + 31 Combine like terms: -31 + 31 = 0 0 + -11n = -18 + 31 -11n = -18 + 31 Combine like terms: -18 + 31 = 13 -11n = 13 Divide each side by '-11'. n = -1.181818182 Simplifying n = -1.181818182
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