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Simplifying 2n + 5 = 7(2n + -1) Reorder the terms: 5 + 2n = 7(2n + -1) Reorder the terms: 5 + 2n = 7(-1 + 2n) 5 + 2n = (-1 * 7 + 2n * 7) 5 + 2n = (-7 + 14n) Solving 5 + 2n = -7 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 5 + 2n + -14n = -7 + 14n + -14n Combine like terms: 2n + -14n = -12n 5 + -12n = -7 + 14n + -14n Combine like terms: 14n + -14n = 0 5 + -12n = -7 + 0 5 + -12n = -7 Add '-5' to each side of the equation. 5 + -5 + -12n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -12n = -7 + -5 -12n = -7 + -5 Combine like terms: -7 + -5 = -12 -12n = -12 Divide each side by '-12'. n = 1 Simplifying n = 1
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