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Simplifying 20(2n + -4) + -2n = 8(3n + 4) Reorder the terms: 20(-4 + 2n) + -2n = 8(3n + 4) (-4 * 20 + 2n * 20) + -2n = 8(3n + 4) (-80 + 40n) + -2n = 8(3n + 4) Combine like terms: 40n + -2n = 38n -80 + 38n = 8(3n + 4) Reorder the terms: -80 + 38n = 8(4 + 3n) -80 + 38n = (4 * 8 + 3n * 8) -80 + 38n = (32 + 24n) Solving -80 + 38n = 32 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -80 + 38n + -24n = 32 + 24n + -24n Combine like terms: 38n + -24n = 14n -80 + 14n = 32 + 24n + -24n Combine like terms: 24n + -24n = 0 -80 + 14n = 32 + 0 -80 + 14n = 32 Add '80' to each side of the equation. -80 + 80 + 14n = 32 + 80 Combine like terms: -80 + 80 = 0 0 + 14n = 32 + 80 14n = 32 + 80 Combine like terms: 32 + 80 = 112 14n = 112 Divide each side by '14'. n = 8 Simplifying n = 8
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