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Simplifying -9(n + 2) + -1(4 + 4n) = -14n Reorder the terms: -9(2 + n) + -1(4 + 4n) = -14n (2 * -9 + n * -9) + -1(4 + 4n) = -14n (-18 + -9n) + -1(4 + 4n) = -14n -18 + -9n + (4 * -1 + 4n * -1) = -14n -18 + -9n + (-4 + -4n) = -14n Reorder the terms: -18 + -4 + -9n + -4n = -14n Combine like terms: -18 + -4 = -22 -22 + -9n + -4n = -14n Combine like terms: -9n + -4n = -13n -22 + -13n = -14n Solving -22 + -13n = -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -22 + -13n + 14n = -14n + 14n Combine like terms: -13n + 14n = 1n -22 + 1n = -14n + 14n Combine like terms: -14n + 14n = 0 -22 + 1n = 0 Add '22' to each side of the equation. -22 + 22 + 1n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1n = 0 + 22 1n = 0 + 22 Combine like terms: 0 + 22 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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