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Simplifying -1n + 14 = -7n + 7(n + 3) Reorder the terms: 14 + -1n = -7n + 7(n + 3) Reorder the terms: 14 + -1n = -7n + 7(3 + n) 14 + -1n = -7n + (3 * 7 + n * 7) 14 + -1n = -7n + (21 + 7n) Reorder the terms: 14 + -1n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 14 + -1n = 21 + 0 14 + -1n = 21 Solving 14 + -1n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1n = 21 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 21 + -14 -1n = 21 + -14 Combine like terms: 21 + -14 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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