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Simplifying 5 + -1(3n + 5) = 3 + -1(7n + 3) Reorder the terms: 5 + -1(5 + 3n) = 3 + -1(7n + 3) 5 + (5 * -1 + 3n * -1) = 3 + -1(7n + 3) 5 + (-5 + -3n) = 3 + -1(7n + 3) Combine like terms: 5 + -5 = 0 0 + -3n = 3 + -1(7n + 3) -3n = 3 + -1(7n + 3) Reorder the terms: -3n = 3 + -1(3 + 7n) -3n = 3 + (3 * -1 + 7n * -1) -3n = 3 + (-3 + -7n) Combine like terms: 3 + -3 = 0 -3n = 0 + -7n -3n = -7n Solving -3n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -3n + 7n = -7n + 7n Combine like terms: -3n + 7n = 4n 4n = -7n + 7n Combine like terms: -7n + 7n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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