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Simplifying 7 + -2n + 3 = 4 + 4n Reorder the terms: 7 + 3 + -2n = 4 + 4n Combine like terms: 7 + 3 = 10 10 + -2n = 4 + 4n Solving 10 + -2n = 4 + 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. 10 + -2n + -4n = 4 + 4n + -4n Combine like terms: -2n + -4n = -6n 10 + -6n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + -6n = 4 + 0 10 + -6n = 4 Add '-10' to each side of the equation. 10 + -10 + -6n = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -6n = 4 + -10 -6n = 4 + -10 Combine like terms: 4 + -10 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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