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Simplifying -7(n + -4) + 7n = -7(n + 4) Reorder the terms: -7(-4 + n) + 7n = -7(n + 4) (-4 * -7 + n * -7) + 7n = -7(n + 4) (28 + -7n) + 7n = -7(n + 4) Combine like terms: -7n + 7n = 0 28 + 0 = -7(n + 4) 28 = -7(n + 4) Reorder the terms: 28 = -7(4 + n) 28 = (4 * -7 + n * -7) 28 = (-28 + -7n) Solving 28 = -28 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 28 + 7n = -28 + -7n + 7n Combine like terms: -7n + 7n = 0 28 + 7n = -28 + 0 28 + 7n = -28 Add '-28' to each side of the equation. 28 + -28 + 7n = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 7n = -28 + -28 7n = -28 + -28 Combine like terms: -28 + -28 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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