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Simplifying 4n + -12n = -4(1 + -7n) + 4(1 + 6n) Combine like terms: 4n + -12n = -8n -8n = -4(1 + -7n) + 4(1 + 6n) -8n = (1 * -4 + -7n * -4) + 4(1 + 6n) -8n = (-4 + 28n) + 4(1 + 6n) -8n = -4 + 28n + (1 * 4 + 6n * 4) -8n = -4 + 28n + (4 + 24n) Reorder the terms: -8n = -4 + 4 + 28n + 24n Combine like terms: -4 + 4 = 0 -8n = 0 + 28n + 24n -8n = 28n + 24n Combine like terms: 28n + 24n = 52n -8n = 52n Solving -8n = 52n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52n' to each side of the equation. -8n + -52n = 52n + -52n Combine like terms: -8n + -52n = -60n -60n = 52n + -52n Combine like terms: 52n + -52n = 0 -60n = 0 Divide each side by '-60'. n = 0.0 Simplifying n = 0.0
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