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Simplifying -5(6n + 5) = 7 + 2n Reorder the terms: -5(5 + 6n) = 7 + 2n (5 * -5 + 6n * -5) = 7 + 2n (-25 + -30n) = 7 + 2n Solving -25 + -30n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -25 + -30n + -2n = 7 + 2n + -2n Combine like terms: -30n + -2n = -32n -25 + -32n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -25 + -32n = 7 + 0 -25 + -32n = 7 Add '25' to each side of the equation. -25 + 25 + -32n = 7 + 25 Combine like terms: -25 + 25 = 0 0 + -32n = 7 + 25 -32n = 7 + 25 Combine like terms: 7 + 25 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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