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Simplifying -7(n + 3) + 2(n + 6) = 0 Reorder the terms: -7(3 + n) + 2(n + 6) = 0 (3 * -7 + n * -7) + 2(n + 6) = 0 (-21 + -7n) + 2(n + 6) = 0 Reorder the terms: -21 + -7n + 2(6 + n) = 0 -21 + -7n + (6 * 2 + n * 2) = 0 -21 + -7n + (12 + 2n) = 0 Reorder the terms: -21 + 12 + -7n + 2n = 0 Combine like terms: -21 + 12 = -9 -9 + -7n + 2n = 0 Combine like terms: -7n + 2n = -5n -9 + -5n = 0 Solving -9 + -5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5n = 0 + 9 -5n = 0 + 9 Combine like terms: 0 + 9 = 9 -5n = 9 Divide each side by '-5'. n = -1.8 Simplifying n = -1.8
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