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Simplifying 6n + -4 + -3n = 3n + 10 + 4n Reorder the terms: -4 + 6n + -3n = 3n + 10 + 4n Combine like terms: 6n + -3n = 3n -4 + 3n = 3n + 10 + 4n Reorder the terms: -4 + 3n = 10 + 3n + 4n Combine like terms: 3n + 4n = 7n -4 + 3n = 10 + 7n Solving -4 + 3n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + 3n + -7n = 10 + 7n + -7n Combine like terms: 3n + -7n = -4n -4 + -4n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -4n = 10 + 0 -4 + -4n = 10 Add '4' to each side of the equation. -4 + 4 + -4n = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = 10 + 4 -4n = 10 + 4 Combine like terms: 10 + 4 = 14 -4n = 14 Divide each side by '-4'. n = -3.5 Simplifying n = -3.5
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