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Simplifying -14 = 3 + -1(4n + 3) + 2n + -16 Reorder the terms: -14 = 3 + -1(3 + 4n) + 2n + -16 -14 = 3 + (3 * -1 + 4n * -1) + 2n + -16 -14 = 3 + (-3 + -4n) + 2n + -16 Reorder the terms: -14 = 3 + -3 + -16 + -4n + 2n Combine like terms: 3 + -3 = 0 -14 = 0 + -16 + -4n + 2n -14 = -16 + -4n + 2n Combine like terms: -4n + 2n = -2n -14 = -16 + -2n Solving -14 = -16 + -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. -14 + 2n = -16 + -2n + 2n Combine like terms: -2n + 2n = 0 -14 + 2n = -16 + 0 -14 + 2n = -16 Add '14' to each side of the equation. -14 + 14 + 2n = -16 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = -16 + 14 2n = -16 + 14 Combine like terms: -16 + 14 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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