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Simplifying 5n + -19 = 14n + -64 Reorder the terms: -19 + 5n = 14n + -64 Reorder the terms: -19 + 5n = -64 + 14n Solving -19 + 5n = -64 + 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. -19 + 5n + -14n = -64 + 14n + -14n Combine like terms: 5n + -14n = -9n -19 + -9n = -64 + 14n + -14n Combine like terms: 14n + -14n = 0 -19 + -9n = -64 + 0 -19 + -9n = -64 Add '19' to each side of the equation. -19 + 19 + -9n = -64 + 19 Combine like terms: -19 + 19 = 0 0 + -9n = -64 + 19 -9n = -64 + 19 Combine like terms: -64 + 19 = -45 -9n = -45 Divide each side by '-9'. n = 5 Simplifying n = 5
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