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Simplifying 7(n + -4) = 2n + -8 Reorder the terms: 7(-4 + n) = 2n + -8 (-4 * 7 + n * 7) = 2n + -8 (-28 + 7n) = 2n + -8 Reorder the terms: -28 + 7n = -8 + 2n Solving -28 + 7n = -8 + 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 = -8 + 2n + -2n Combine like terms: 7n + -2n = 5n -28 + 5n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 -28 + 5n = -8 + 0 -28 + 5n = -8 Add '28' to each side of the equation. -28 + 28 + 5n = -8 + 28 Combine like terms: -28 + 28 = 0 0 + 5n = -8 + 28 5n = -8 + 28 Combine like terms: -8 + 28 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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