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Simplifying 4(n + 3) + 2n = n + -8 Reorder the terms: 4(3 + n) + 2n = n + -8 (3 * 4 + n * 4) + 2n = n + -8 (12 + 4n) + 2n = n + -8 Combine like terms: 4n + 2n = 6n 12 + 6n = n + -8 Reorder the terms: 12 + 6n = -8 + n Solving 12 + 6n = -8 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + 6n + -1n = -8 + n + -1n Combine like terms: 6n + -1n = 5n 12 + 5n = -8 + n + -1n Combine like terms: n + -1n = 0 12 + 5n = -8 + 0 12 + 5n = -8 Add '-12' to each side of the equation. 12 + -12 + 5n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5n = -8 + -12 5n = -8 + -12 Combine like terms: -8 + -12 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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