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Simplifying -5(-3n + 4) + 3 = 2(1 + -2n) Reorder the terms: -5(4 + -3n) + 3 = 2(1 + -2n) (4 * -5 + -3n * -5) + 3 = 2(1 + -2n) (-20 + 15n) + 3 = 2(1 + -2n) Reorder the terms: -20 + 3 + 15n = 2(1 + -2n) Combine like terms: -20 + 3 = -17 -17 + 15n = 2(1 + -2n) -17 + 15n = (1 * 2 + -2n * 2) -17 + 15n = (2 + -4n) Solving -17 + 15n = 2 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -17 + 15n + 4n = 2 + -4n + 4n Combine like terms: 15n + 4n = 19n -17 + 19n = 2 + -4n + 4n Combine like terms: -4n + 4n = 0 -17 + 19n = 2 + 0 -17 + 19n = 2 Add '17' to each side of the equation. -17 + 17 + 19n = 2 + 17 Combine like terms: -17 + 17 = 0 0 + 19n = 2 + 17 19n = 2 + 17 Combine like terms: 2 + 17 = 19 19n = 19 Divide each side by '19'. n = 1 Simplifying n = 1
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