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Simplifying 4n + -3(n + -7) = 4 + 2n Reorder the terms: 4n + -3(-7 + n) = 4 + 2n 4n + (-7 * -3 + n * -3) = 4 + 2n 4n + (21 + -3n) = 4 + 2n Reorder the terms: 21 + 4n + -3n = 4 + 2n Combine like terms: 4n + -3n = 1n 21 + 1n = 4 + 2n Solving 21 + 1n = 4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 21 + 1n + -2n = 4 + 2n + -2n Combine like terms: 1n + -2n = -1n 21 + -1n = 4 + 2n + -2n Combine like terms: 2n + -2n = 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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