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Simplifying n + 2(n + 2) = 4(n + 4) + -54 Reorder the terms: n + 2(2 + n) = 4(n + 4) + -54 n + (2 * 2 + n * 2) = 4(n + 4) + -54 n + (4 + 2n) = 4(n + 4) + -54 Reorder the terms: 4 + n + 2n = 4(n + 4) + -54 Combine like terms: n + 2n = 3n 4 + 3n = 4(n + 4) + -54 Reorder the terms: 4 + 3n = 4(4 + n) + -54 4 + 3n = (4 * 4 + n * 4) + -54 4 + 3n = (16 + 4n) + -54 Reorder the terms: 4 + 3n = 16 + -54 + 4n Combine like terms: 16 + -54 = -38 4 + 3n = -38 + 4n Solving 4 + 3n = -38 + 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. 4 + 3n + -4n = -38 + 4n + -4n Combine like terms: 3n + -4n = -1n 4 + -1n = -38 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + -1n = -38 + 0 4 + -1n = -38 Add '-4' to each side of the equation. 4 + -4 + -1n = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -38 + -4 -1n = -38 + -4 Combine like terms: -38 + -4 = -42 -1n = -42 Divide each side by '-1'. n = 42 Simplifying n = 42
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