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Simplifying 4(2n + 3) = 6 + -1(n + -2) Reorder the terms: 4(3 + 2n) = 6 + -1(n + -2) (3 * 4 + 2n * 4) = 6 + -1(n + -2) (12 + 8n) = 6 + -1(n + -2) Reorder the terms: 12 + 8n = 6 + -1(-2 + n) 12 + 8n = 6 + (-2 * -1 + n * -1) 12 + 8n = 6 + (2 + -1n) Combine like terms: 6 + 2 = 8 12 + 8n = 8 + -1n Solving 12 + 8n = 8 + -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. 12 + 8n + n = 8 + -1n + n Combine like terms: 8n + n = 9n 12 + 9n = 8 + -1n + n Combine like terms: -1n + n = 0 12 + 9n = 8 + 0 12 + 9n = 8 Add '-12' to each side of the equation. 12 + -12 + 9n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 9n = 8 + -12 9n = 8 + -12 Combine like terms: 8 + -12 = -4 9n = -4 Divide each side by '9'. n = -0.4444444444 Simplifying n = -0.4444444444
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