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Simplifying 2n + 25 = 7(5n + -6) + 1 Reorder the terms: 25 + 2n = 7(5n + -6) + 1 Reorder the terms: 25 + 2n = 7(-6 + 5n) + 1 25 + 2n = (-6 * 7 + 5n * 7) + 1 25 + 2n = (-42 + 35n) + 1 Reorder the terms: 25 + 2n = -42 + 1 + 35n Combine like terms: -42 + 1 = -41 25 + 2n = -41 + 35n Solving 25 + 2n = -41 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 25 + 2n + -35n = -41 + 35n + -35n Combine like terms: 2n + -35n = -33n 25 + -33n = -41 + 35n + -35n Combine like terms: 35n + -35n = 0 25 + -33n = -41 + 0 25 + -33n = -41 Add '-25' to each side of the equation. 25 + -25 + -33n = -41 + -25 Combine like terms: 25 + -25 = 0 0 + -33n = -41 + -25 -33n = -41 + -25 Combine like terms: -41 + -25 = -66 -33n = -66 Divide each side by '-33'. n = 2 Simplifying n = 2
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