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Simplifying 6 = 5(n + -7) Reorder the terms: 6 = 5(-7 + n) 6 = (-7 * 5 + n * 5) 6 = (-35 + 5n) Solving 6 = -35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6 + -5n = -35 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -5n = -35 + 0 6 + -5n = -35 Add '-6' to each side of the equation. 6 + -6 + -5n = -35 + -6 Combine like terms: 6 + -6 = 0 0 + -5n = -35 + -6 -5n = -35 + -6 Combine like terms: -35 + -6 = -41 -5n = -41 Divide each side by '-5'. n = 8.2 Simplifying n = 8.2
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