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Simplifying -7(n + 4) = 7 + -2n Reorder the terms: -7(4 + n) = 7 + -2n (4 * -7 + n * -7) = 7 + -2n (-28 + -7n) = 7 + -2n Solving -28 + -7n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -28 + -7n + 2n = 7 + -2n + 2n Combine like terms: -7n + 2n = -5n -28 + -5n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 -28 + -5n = 7 + 0 -28 + -5n = 7 Add '28' to each side of the equation. -28 + 28 + -5n = 7 + 28 Combine like terms: -28 + 28 = 0 0 + -5n = 7 + 28 -5n = 7 + 28 Combine like terms: 7 + 28 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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