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Simplifying 7 + -5n = 2n + -4n + 10 Reorder the terms: 7 + -5n = 10 + 2n + -4n Combine like terms: 2n + -4n = -2n 7 + -5n = 10 + -2n Solving 7 + -5n = 10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 7 + -5n + 2n = 10 + -2n + 2n Combine like terms: -5n + 2n = -3n 7 + -3n = 10 + -2n + 2n Combine like terms: -2n + 2n = 0 7 + -3n = 10 + 0 7 + -3n = 10 Add '-7' to each side of the equation. 7 + -7 + -3n = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 10 + -7 -3n = 10 + -7 Combine like terms: 10 + -7 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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