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Simplifying 3(n + -1) + -2 = 4(n + 2) + 4 Reorder the terms: 3(-1 + n) + -2 = 4(n + 2) + 4 (-1 * 3 + n * 3) + -2 = 4(n + 2) + 4 (-3 + 3n) + -2 = 4(n + 2) + 4 Reorder the terms: -3 + -2 + 3n = 4(n + 2) + 4 Combine like terms: -3 + -2 = -5 -5 + 3n = 4(n + 2) + 4 Reorder the terms: -5 + 3n = 4(2 + n) + 4 -5 + 3n = (2 * 4 + n * 4) + 4 -5 + 3n = (8 + 4n) + 4 Reorder the terms: -5 + 3n = 8 + 4 + 4n Combine like terms: 8 + 4 = 12 -5 + 3n = 12 + 4n Solving -5 + 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. -5 + 3n + -4n = 12 + 4n + -4n Combine like terms: 3n + -4n = -1n -5 + -1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + -1n = 12 + 0 -5 + -1n = 12 Add '5' to each side of the equation. -5 + 5 + -1n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 12 + 5 -1n = 12 + 5 Combine like terms: 12 + 5 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17
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