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Simplifying 3(n + -4) + 5n + 16 + -6n = 2(4 + -1n) Reorder the terms: 3(-4 + n) + 5n + 16 + -6n = 2(4 + -1n) (-4 * 3 + n * 3) + 5n + 16 + -6n = 2(4 + -1n) (-12 + 3n) + 5n + 16 + -6n = 2(4 + -1n) Reorder the terms: -12 + 16 + 3n + 5n + -6n = 2(4 + -1n) Combine like terms: -12 + 16 = 4 4 + 3n + 5n + -6n = 2(4 + -1n) Combine like terms: 3n + 5n = 8n 4 + 8n + -6n = 2(4 + -1n) Combine like terms: 8n + -6n = 2n 4 + 2n = 2(4 + -1n) 4 + 2n = (4 * 2 + -1n * 2) 4 + 2n = (8 + -2n) Solving 4 + 2n = 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. 4 + 2n + 2n = 8 + -2n + 2n Combine like terms: 2n + 2n = 4n 4 + 4n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 4n = 8 + 0 4 + 4n = 8 Add '-4' to each side of the equation. 4 + -4 + 4n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = 8 + -4 4n = 8 + -4 Combine like terms: 8 + -4 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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