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Simplifying 4n + -2(n + -7) = 4 + 3n Reorder the terms: 4n + -2(-7 + n) = 4 + 3n 4n + (-7 * -2 + n * -2) = 4 + 3n 4n + (14 + -2n) = 4 + 3n Reorder the terms: 14 + 4n + -2n = 4 + 3n Combine like terms: 4n + -2n = 2n 14 + 2n = 4 + 3n Solving 14 + 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. 14 + 2n + -3n = 4 + 3n + -3n Combine like terms: 2n + -3n = -1n 14 + -1n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + -1n = 4 + 0 14 + -1n = 4 Add '-14' to each side of the equation. 14 + -14 + -1n = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 4 + -14 -1n = 4 + -14 Combine like terms: 4 + -14 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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