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Simplifying -5(6 + 4n) = -7n + 9 (6 * -5 + 4n * -5) = -7n + 9 (-30 + -20n) = -7n + 9 Reorder the terms: -30 + -20n = 9 + -7n Solving -30 + -20n = 9 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -30 + -20n + 7n = 9 + -7n + 7n Combine like terms: -20n + 7n = -13n -30 + -13n = 9 + -7n + 7n Combine like terms: -7n + 7n = 0 -30 + -13n = 9 + 0 -30 + -13n = 9 Add '30' to each side of the equation. -30 + 30 + -13n = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -13n = 9 + 30 -13n = 9 + 30 Combine like terms: 9 + 30 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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