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Simplifying -6 + 8n = 6n + -1(4 + -3n) -6 + 8n = 6n + (4 * -1 + -3n * -1) -6 + 8n = 6n + (-4 + 3n) Reorder the terms: -6 + 8n = -4 + 6n + 3n Combine like terms: 6n + 3n = 9n -6 + 8n = -4 + 9n Solving -6 + 8n = -4 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 8n + -9n = -4 + 9n + -9n Combine like terms: 8n + -9n = -1n -6 + -1n = -4 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -1n = -4 + 0 -6 + -1n = -4 Add '6' to each side of the equation. -6 + 6 + -1n = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = -4 + 6 -1n = -4 + 6 Combine like terms: -4 + 6 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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