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Simplifying 3n + -6 = 10 + 7n Reorder the terms: -6 + 3n = 10 + 7n Solving -6 + 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. -6 + 3n + -7n = 10 + 7n + -7n Combine like terms: 3n + -7n = -4n -6 + -4n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + -4n = 10 + 0 -6 + -4n = 10 Add '6' to each side of the equation. -6 + 6 + -4n = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4n = 10 + 6 -4n = 10 + 6 Combine like terms: 10 + 6 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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