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Simplifying 3n + -7 = 9 * 5n Reorder the terms: -7 + 3n = 9 * 5n Multiply 9 * 5 -7 + 3n = 45n Solving -7 + 3n = 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. -7 + 3n + -45n = 45n + -45n Combine like terms: 3n + -45n = -42n -7 + -42n = 45n + -45n Combine like terms: 45n + -45n = 0 -7 + -42n = 0 Add '7' to each side of the equation. -7 + 7 + -42n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -42n = 0 + 7 -42n = 0 + 7 Combine like terms: 0 + 7 = 7 -42n = 7 Divide each side by '-42'. n = -0.1666666667 Simplifying n = -0.1666666667
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