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Simplifying 6n + -25 = 4(1 + 3n) + 7 Reorder the terms: -25 + 6n = 4(1 + 3n) + 7 -25 + 6n = (1 * 4 + 3n * 4) + 7 -25 + 6n = (4 + 12n) + 7 Reorder the terms: -25 + 6n = 4 + 7 + 12n Combine like terms: 4 + 7 = 11 -25 + 6n = 11 + 12n Solving -25 + 6n = 11 + 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 + 6n + -12n = 11 + 12n + -12n Combine like terms: 6n + -12n = -6n -25 + -6n = 11 + 12n + -12n Combine like terms: 12n + -12n = 0 -25 + -6n = 11 + 0 -25 + -6n = 11 Add '25' to each side of the equation. -25 + 25 + -6n = 11 + 25 Combine like terms: -25 + 25 = 0 0 + -6n = 11 + 25 -6n = 11 + 25 Combine like terms: 11 + 25 = 36 -6n = 36 Divide each side by '-6'. n = -6 Simplifying n = -6
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