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Simplifying 7 + -2(n + -5) = 2n + 3 Reorder the terms: 7 + -2(-5 + n) = 2n + 3 7 + (-5 * -2 + n * -2) = 2n + 3 7 + (10 + -2n) = 2n + 3 Combine like terms: 7 + 10 = 17 17 + -2n = 2n + 3 Reorder the terms: 17 + -2n = 3 + 2n Solving 17 + -2n = 3 + 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. 17 + -2n + -2n = 3 + 2n + -2n Combine like terms: -2n + -2n = -4n 17 + -4n = 3 + 2n + -2n Combine like terms: 2n + -2n = 0 17 + -4n = 3 + 0 17 + -4n = 3 Add '-17' to each side of the equation. 17 + -17 + -4n = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -4n = 3 + -17 -4n = 3 + -17 Combine like terms: 3 + -17 = -14 -4n = -14 Divide each side by '-4'. n = 3.5 Simplifying n = 3.5
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