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Simplifying 10 + -2(n + -2) = -3n + 5 + 4n Reorder the terms: 10 + -2(-2 + n) = -3n + 5 + 4n 10 + (-2 * -2 + n * -2) = -3n + 5 + 4n 10 + (4 + -2n) = -3n + 5 + 4n Combine like terms: 10 + 4 = 14 14 + -2n = -3n + 5 + 4n Reorder the terms: 14 + -2n = 5 + -3n + 4n Combine like terms: -3n + 4n = 1n 14 + -2n = 5 + 1n Solving 14 + -2n = 5 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 14 + -2n + -1n = 5 + 1n + -1n Combine like terms: -2n + -1n = -3n 14 + -3n = 5 + 1n + -1n Combine like terms: 1n + -1n = 0 14 + -3n = 5 + 0 14 + -3n = 5 Add '-14' to each side of the equation. 14 + -14 + -3n = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = 5 + -14 -3n = 5 + -14 Combine like terms: 5 + -14 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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