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Simplifying 3 + 2(n + -6) = -5n + -2 Reorder the terms: 3 + 2(-6 + n) = -5n + -2 3 + (-6 * 2 + n * 2) = -5n + -2 3 + (-12 + 2n) = -5n + -2 Combine like terms: 3 + -12 = -9 -9 + 2n = -5n + -2 Reorder the terms: -9 + 2n = -2 + -5n Solving -9 + 2n = -2 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -9 + 2n + 5n = -2 + -5n + 5n Combine like terms: 2n + 5n = 7n -9 + 7n = -2 + -5n + 5n Combine like terms: -5n + 5n = 0 -9 + 7n = -2 + 0 -9 + 7n = -2 Add '9' to each side of the equation. -9 + 9 + 7n = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 7n = -2 + 9 7n = -2 + 9 Combine like terms: -2 + 9 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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