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Simplifying 5n + -4(n + -9) = 2 + 2n Reorder the terms: 5n + -4(-9 + n) = 2 + 2n 5n + (-9 * -4 + n * -4) = 2 + 2n 5n + (36 + -4n) = 2 + 2n Reorder the terms: 36 + 5n + -4n = 2 + 2n Combine like terms: 5n + -4n = 1n 36 + 1n = 2 + 2n Solving 36 + 1n = 2 + 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. 36 + 1n + -2n = 2 + 2n + -2n Combine like terms: 1n + -2n = -1n 36 + -1n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 36 + -1n = 2 + 0 36 + -1n = 2 Add '-36' to each side of the equation. 36 + -36 + -1n = 2 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = 2 + -36 -1n = 2 + -36 Combine like terms: 2 + -36 = -34 -1n = -34 Divide each side by '-1'. n = 34 Simplifying n = 34
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