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Simplifying 4n + -2 = 7n + -6 Reorder the terms: -2 + 4n = 7n + -6 Reorder the terms: -2 + 4n = -6 + 7n Solving -2 + 4n = -6 + 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. -2 + 4n + -7n = -6 + 7n + -7n Combine like terms: 4n + -7n = -3n -2 + -3n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + -3n = -6 + 0 -2 + -3n = -6 Add '2' to each side of the equation. -2 + 2 + -3n = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = -6 + 2 -3n = -6 + 2 Combine like terms: -6 + 2 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333
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