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Simplifying 4(2n + 3) = 7n + -2 Reorder the terms: 4(3 + 2n) = 7n + -2 (3 * 4 + 2n * 4) = 7n + -2 (12 + 8n) = 7n + -2 Reorder the terms: 12 + 8n = -2 + 7n Solving 12 + 8n = -2 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12 + 8n + -7n = -2 + 7n + -7n Combine like terms: 8n + -7n = 1n 12 + 1n = -2 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + 1n = -2 + 0 12 + 1n = -2 Add '-12' to each side of the equation. 12 + -12 + 1n = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = -2 + -12 1n = -2 + -12 Combine like terms: -2 + -12 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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