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Simplifying 3(n + -1) + -4 = 5n + 3 + 2n Reorder the terms: 3(-1 + n) + -4 = 5n + 3 + 2n (-1 * 3 + n * 3) + -4 = 5n + 3 + 2n (-3 + 3n) + -4 = 5n + 3 + 2n Reorder the terms: -3 + -4 + 3n = 5n + 3 + 2n Combine like terms: -3 + -4 = -7 -7 + 3n = 5n + 3 + 2n Reorder the terms: -7 + 3n = 3 + 5n + 2n Combine like terms: 5n + 2n = 7n -7 + 3n = 3 + 7n Solving -7 + 3n = 3 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -7 + 3n + -7n = 3 + 7n + -7n Combine like terms: 3n + -7n = -4n -7 + -4n = 3 + 7n + -7n Combine like terms: 7n + -7n = 0 -7 + -4n = 3 + 0 -7 + -4n = 3 Add '7' to each side of the equation. -7 + 7 + -4n = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -4n = 3 + 7 -4n = 3 + 7 Combine like terms: 3 + 7 = 10 -4n = 10 Divide each side by '-4'. n = -2.5 Simplifying n = -2.5
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