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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 = 12n 7 + -2n = 12n Solving 7 + -2n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 7 + -2n + -12n = 12n + -12n Combine like terms: -2n + -12n = -14n 7 + -14n = 12n + -12n Combine like terms: 12n + -12n = 0 7 + -14n = 0 Add '-7' to each side of the equation. 7 + -7 + -14n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -14n = 0 + -7 -14n = 0 + -7 Combine like terms: 0 + -7 = -7 -14n = -7 Divide each side by '-14'. n = 0.5 Simplifying n = 0.5
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