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Simplifying 3 + -5(2 + -3n) = -7(1 + -2n) 3 + (2 * -5 + -3n * -5) = -7(1 + -2n) 3 + (-10 + 15n) = -7(1 + -2n) Combine like terms: 3 + -10 = -7 -7 + 15n = -7(1 + -2n) -7 + 15n = (1 * -7 + -2n * -7) -7 + 15n = (-7 + 14n) Add '7' to each side of the equation. -7 + 7 + 15n = -7 + 7 + 14n Combine like terms: -7 + 7 = 0 0 + 15n = -7 + 7 + 14n 15n = -7 + 7 + 14n Combine like terms: -7 + 7 = 0 15n = 0 + 14n 15n = 14n Solving 15n = 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. 15n + -14n = 14n + -14n Combine like terms: 15n + -14n = 1n 1n = 14n + -14n Combine like terms: 14n + -14n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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