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Simplifying 8 + -6n = -7 + 5(5n + 3) Reorder the terms: 8 + -6n = -7 + 5(3 + 5n) 8 + -6n = -7 + (3 * 5 + 5n * 5) 8 + -6n = -7 + (15 + 25n) Combine like terms: -7 + 15 = 8 8 + -6n = 8 + 25n Add '-8' to each side of the equation. 8 + -8 + -6n = 8 + -8 + 25n Combine like terms: 8 + -8 = 0 0 + -6n = 8 + -8 + 25n -6n = 8 + -8 + 25n Combine like terms: 8 + -8 = 0 -6n = 0 + 25n -6n = 25n Solving -6n = 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -6n + -25n = 25n + -25n Combine like terms: -6n + -25n = -31n -31n = 25n + -25n Combine like terms: 25n + -25n = 0 -31n = 0 Divide each side by '-31'. n = 0 Simplifying n = 0
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