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Simplifying 5n + -3(n + -7) = 4 + 3n Reorder the terms: 5n + -3(-7 + n) = 4 + 3n 5n + (-7 * -3 + n * -3) = 4 + 3n 5n + (21 + -3n) = 4 + 3n Reorder the terms: 21 + 5n + -3n = 4 + 3n Combine like terms: 5n + -3n = 2n 21 + 2n = 4 + 3n Solving 21 + 2n = 4 + 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. 21 + 2n + -3n = 4 + 3n + -3n Combine like terms: 2n + -3n = -1n 21 + -1n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 21 + -1n = 4 + 0 21 + -1n = 4 Add '-21' to each side of the equation. 21 + -21 + -1n = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 4 + -21 -1n = 4 + -21 Combine like terms: 4 + -21 = -17 -1n = -17 Divide each side by '-1'. n = 17 Simplifying n = 17
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