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Simplifying 3 + 7(n + -2) = -23 + n Reorder the terms: 3 + 7(-2 + n) = -23 + n 3 + (-2 * 7 + n * 7) = -23 + n 3 + (-14 + 7n) = -23 + n Combine like terms: 3 + -14 = -11 -11 + 7n = -23 + n Solving -11 + 7n = -23 + 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. -11 + 7n + -1n = -23 + n + -1n Combine like terms: 7n + -1n = 6n -11 + 6n = -23 + n + -1n Combine like terms: n + -1n = 0 -11 + 6n = -23 + 0 -11 + 6n = -23 Add '11' to each side of the equation. -11 + 11 + 6n = -23 + 11 Combine like terms: -11 + 11 = 0 0 + 6n = -23 + 11 6n = -23 + 11 Combine like terms: -23 + 11 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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