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Simplifying 2(n + 6) + -3n = -9 + 6n Reorder the terms: 2(6 + n) + -3n = -9 + 6n (6 * 2 + n * 2) + -3n = -9 + 6n (12 + 2n) + -3n = -9 + 6n Combine like terms: 2n + -3n = -1n 12 + -1n = -9 + 6n Solving 12 + -1n = -9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 12 + -1n + -6n = -9 + 6n + -6n Combine like terms: -1n + -6n = -7n 12 + -7n = -9 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -7n = -9 + 0 12 + -7n = -9 Add '-12' to each side of the equation. 12 + -12 + -7n = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = -9 + -12 -7n = -9 + -12 Combine like terms: -9 + -12 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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