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Simplifying 2n + 10 = 4n + -4 Reorder the terms: 10 + 2n = 4n + -4 Reorder the terms: 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 = -2n 10 + -2n = -4 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + -2n = -4 + 0 10 + -2n = -4 Add '-10' to each side of the equation. 10 + -10 + -2n = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -4 + -10 -2n = -4 + -10 Combine like terms: -4 + -10 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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