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Simplifying 7 + -2n = 8n + -1(4n) Remove parenthesis around (4n) 7 + -2n = 8n + -1 * 4n Multiply -1 * 4 7 + -2n = 8n + -4n Combine like terms: 8n + -4n = 4n 7 + -2n = 4n Solving 7 + -2n = 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. 7 + -2n + -4n = 4n + -4n Combine like terms: -2n + -4n = -6n 7 + -6n = 4n + -4n Combine like terms: 4n + -4n = 0 7 + -6n = 0 Add '-7' to each side of the equation. 7 + -7 + -6n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6n = 0 + -7 -6n = 0 + -7 Combine like terms: 0 + -7 = -7 -6n = -7 Divide each side by '-6'. n = 1.166666667 Simplifying n = 1.166666667
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