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Simplifying 4n + 15 = -4n + -5(7n + -3) Reorder the terms: 15 + 4n = -4n + -5(7n + -3) Reorder the terms: 15 + 4n = -4n + -5(-3 + 7n) 15 + 4n = -4n + (-3 * -5 + 7n * -5) 15 + 4n = -4n + (15 + -35n) Reorder the terms: 15 + 4n = 15 + -4n + -35n Combine like terms: -4n + -35n = -39n 15 + 4n = 15 + -39n Add '-15' to each side of the equation. 15 + -15 + 4n = 15 + -15 + -39n Combine like terms: 15 + -15 = 0 0 + 4n = 15 + -15 + -39n 4n = 15 + -15 + -39n Combine like terms: 15 + -15 = 0 4n = 0 + -39n 4n = -39n Solving 4n = -39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39n' to each side of the equation. 4n + 39n = -39n + 39n Combine like terms: 4n + 39n = 43n 43n = -39n + 39n Combine like terms: -39n + 39n = 0 43n = 0 Divide each side by '43'. n = 0 Simplifying n = 0
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