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Simplifying 6(7 + -9n) = -4n + -8 (7 * 6 + -9n * 6) = -4n + -8 (42 + -54n) = -4n + -8 Reorder the terms: 42 + -54n = -8 + -4n Solving 42 + -54n = -8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 42 + -54n + 4n = -8 + -4n + 4n Combine like terms: -54n + 4n = -50n 42 + -50n = -8 + -4n + 4n Combine like terms: -4n + 4n = 0 42 + -50n = -8 + 0 42 + -50n = -8 Add '-42' to each side of the equation. 42 + -42 + -50n = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -50n = -8 + -42 -50n = -8 + -42 Combine like terms: -8 + -42 = -50 -50n = -50 Divide each side by '-50'. n = 1 Simplifying n = 1
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