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Simplifying 5n + -2(n + 4) = 12 + 4n Reorder the terms: 5n + -2(4 + n) = 12 + 4n 5n + (4 * -2 + n * -2) = 12 + 4n 5n + (-8 + -2n) = 12 + 4n Reorder the terms: -8 + 5n + -2n = 12 + 4n Combine like terms: 5n + -2n = 3n -8 + 3n = 12 + 4n Solving -8 + 3n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -8 + 3n + -4n = 12 + 4n + -4n Combine like terms: 3n + -4n = -1n -8 + -1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + -1n = 12 + 0 -8 + -1n = 12 Add '8' to each side of the equation. -8 + 8 + -1n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 12 + 8 -1n = 12 + 8 Combine like terms: 12 + 8 = 20 -1n = 20 Divide each side by '-1'. n = -20 Simplifying n = -20
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