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Simplifying 40(5n) = 340(-45n) Remove parenthesis around (5n) 40 * 5n = 340(-45n) Multiply 40 * 5 200n = 340(-45n) Remove parenthesis around (-45n) 200n = 340 * -45n Multiply 340 * -45 200n = -15300n Solving 200n = -15300n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15300n' to each side of the equation. 200n + 15300n = -15300n + 15300n Combine like terms: 200n + 15300n = 15500n 15500n = -15300n + 15300n Combine like terms: -15300n + 15300n = 0 15500n = 0 Divide each side by '15500'. n = 0 Simplifying n = 0
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