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Simplifying 5n + -4(n + -8) = 4 + 2n Reorder the terms: 5n + -4(-8 + n) = 4 + 2n 5n + (-8 * -4 + n * -4) = 4 + 2n 5n + (32 + -4n) = 4 + 2n Reorder the terms: 32 + 5n + -4n = 4 + 2n Combine like terms: 5n + -4n = 1n 32 + 1n = 4 + 2n Solving 32 + 1n = 4 + 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. 32 + 1n + -2n = 4 + 2n + -2n Combine like terms: 1n + -2n = -1n 32 + -1n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 32 + -1n = 4 + 0 32 + -1n = 4 Add '-32' to each side of the equation. 32 + -32 + -1n = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -1n = 4 + -32 -1n = 4 + -32 Combine like terms: 4 + -32 = -28 -1n = -28 Divide each side by '-1'. n = 28 Simplifying n = 28
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