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Simplifying -4(n + 7) + 7n = 7n Reorder the terms: -4(7 + n) + 7n = 7n (7 * -4 + n * -4) + 7n = 7n (-28 + -4n) + 7n = 7n Combine like terms: -4n + 7n = 3n -28 + 3n = 7n Solving -28 + 3n = 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 + 3n + -7n = 7n + -7n Combine like terms: 3n + -7n = -4n -28 + -4n = 7n + -7n Combine like terms: 7n + -7n = 0 -28 + -4n = 0 Add '28' to each side of the equation. -28 + 28 + -4n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -4n = 0 + 28 -4n = 0 + 28 Combine like terms: 0 + 28 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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