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Simplifying 4n + -5(n + -3) = -3(-1n + -1) + 4 Reorder the terms: 4n + -5(-3 + n) = -3(-1n + -1) + 4 4n + (-3 * -5 + n * -5) = -3(-1n + -1) + 4 4n + (15 + -5n) = -3(-1n + -1) + 4 Reorder the terms: 15 + 4n + -5n = -3(-1n + -1) + 4 Combine like terms: 4n + -5n = -1n 15 + -1n = -3(-1n + -1) + 4 Reorder the terms: 15 + -1n = -3(-1 + -1n) + 4 15 + -1n = (-1 * -3 + -1n * -3) + 4 15 + -1n = (3 + 3n) + 4 Reorder the terms: 15 + -1n = 3 + 4 + 3n Combine like terms: 3 + 4 = 7 15 + -1n = 7 + 3n Solving 15 + -1n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 15 + -1n + -3n = 7 + 3n + -3n Combine like terms: -1n + -3n = -4n 15 + -4n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 15 + -4n = 7 + 0 15 + -4n = 7 Add '-15' to each side of the equation. 15 + -15 + -4n = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -4n = 7 + -15 -4n = 7 + -15 Combine like terms: 7 + -15 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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