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