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Simplifying 3(n + -1) = -4(n + 5) + 3 Reorder the terms: 3(-1 + n) = -4(n + 5) + 3 (-1 * 3 + n * 3) = -4(n + 5) + 3 (-3 + 3n) = -4(n + 5) + 3 Reorder the terms: -3 + 3n = -4(5 + n) + 3 -3 + 3n = (5 * -4 + n * -4) + 3 -3 + 3n = (-20 + -4n) + 3 Reorder the terms: -3 + 3n = -20 + 3 + -4n Combine like terms: -20 + 3 = -17 -3 + 3n = -17 + -4n Solving -3 + 3n = -17 + -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. -3 + 3n + 4n = -17 + -4n + 4n Combine like terms: 3n + 4n = 7n -3 + 7n = -17 + -4n + 4n Combine like terms: -4n + 4n = 0 -3 + 7n = -17 + 0 -3 + 7n = -17 Add '3' to each side of the equation. -3 + 3 + 7n = -17 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = -17 + 3 7n = -17 + 3 Combine like terms: -17 + 3 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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