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Simplifying 5n + 3 + -10 = 3n + 8 + -7n Reorder the terms: 3 + -10 + 5n = 3n + 8 + -7n Combine like terms: 3 + -10 = -7 -7 + 5n = 3n + 8 + -7n Reorder the terms: -7 + 5n = 8 + 3n + -7n Combine like terms: 3n + -7n = -4n -7 + 5n = 8 + -4n Solving -7 + 5n = 8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -7 + 5n + 4n = 8 + -4n + 4n Combine like terms: 5n + 4n = 9n -7 + 9n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 -7 + 9n = 8 + 0 -7 + 9n = 8 Add '7' to each side of the equation. -7 + 7 + 9n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 9n = 8 + 7 9n = 8 + 7 Combine like terms: 8 + 7 = 15 9n = 15 Divide each side by '9'. n = 1.666666667 Simplifying n = 1.666666667
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