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Simplifying -6(n + 3) + -4 = -2(n + -3) * 4 Reorder the terms: -6(3 + n) + -4 = -2(n + -3) * 4 (3 * -6 + n * -6) + -4 = -2(n + -3) * 4 (-18 + -6n) + -4 = -2(n + -3) * 4 Reorder the terms: -18 + -4 + -6n = -2(n + -3) * 4 Combine like terms: -18 + -4 = -22 -22 + -6n = -2(n + -3) * 4 Reorder the terms: -22 + -6n = -2(-3 + n) * 4 Reorder the terms for easier multiplication: -22 + -6n = -2 * 4(-3 + n) Multiply -2 * 4 -22 + -6n = -8(-3 + n) -22 + -6n = (-3 * -8 + n * -8) -22 + -6n = (24 + -8n) Solving -22 + -6n = 24 + -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. -22 + -6n + 8n = 24 + -8n + 8n Combine like terms: -6n + 8n = 2n -22 + 2n = 24 + -8n + 8n Combine like terms: -8n + 8n = 0 -22 + 2n = 24 + 0 -22 + 2n = 24 Add '22' to each side of the equation. -22 + 22 + 2n = 24 + 22 Combine like terms: -22 + 22 = 0 0 + 2n = 24 + 22 2n = 24 + 22 Combine like terms: 24 + 22 = 46 2n = 46 Divide each side by '2'. n = 23 Simplifying n = 23
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