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Simplifying 25 + n = 1 + 6(2n + -7) Reorder the terms: 25 + n = 1 + 6(-7 + 2n) 25 + n = 1 + (-7 * 6 + 2n * 6) 25 + n = 1 + (-42 + 12n) Combine like terms: 1 + -42 = -41 25 + n = -41 + 12n Solving 25 + n = -41 + 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. 25 + n + -12n = -41 + 12n + -12n Combine like terms: n + -12n = -11n 25 + -11n = -41 + 12n + -12n Combine like terms: 12n + -12n = 0 25 + -11n = -41 + 0 25 + -11n = -41 Add '-25' to each side of the equation. 25 + -25 + -11n = -41 + -25 Combine like terms: 25 + -25 = 0 0 + -11n = -41 + -25 -11n = -41 + -25 Combine like terms: -41 + -25 = -66 -11n = -66 Divide each side by '-11'. n = 6 Simplifying n = 6
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