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