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Simplifying -6(-3n + 5) = -5(5 + -4n) + -7 Reorder the terms: -6(5 + -3n) = -5(5 + -4n) + -7 (5 * -6 + -3n * -6) = -5(5 + -4n) + -7 (-30 + 18n) = -5(5 + -4n) + -7 -30 + 18n = (5 * -5 + -4n * -5) + -7 -30 + 18n = (-25 + 20n) + -7 Reorder the terms: -30 + 18n = -25 + -7 + 20n Combine like terms: -25 + -7 = -32 -30 + 18n = -32 + 20n Solving -30 + 18n = -32 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -30 + 18n + -20n = -32 + 20n + -20n Combine like terms: 18n + -20n = -2n -30 + -2n = -32 + 20n + -20n Combine like terms: 20n + -20n = 0 -30 + -2n = -32 + 0 -30 + -2n = -32 Add '30' to each side of the equation. -30 + 30 + -2n = -32 + 30 Combine like terms: -30 + 30 = 0 0 + -2n = -32 + 30 -2n = -32 + 30 Combine like terms: -32 + 30 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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