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Simplifying 6(7 + -2n) = 5n + -7 (7 * 6 + -2n * 6) = 5n + -7 (42 + -12n) = 5n + -7 Reorder the terms: 42 + -12n = -7 + 5n Solving 42 + -12n = -7 + 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. 42 + -12n + -5n = -7 + 5n + -5n Combine like terms: -12n + -5n = -17n 42 + -17n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 42 + -17n = -7 + 0 42 + -17n = -7 Add '-42' to each side of the equation. 42 + -42 + -17n = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -17n = -7 + -42 -17n = -7 + -42 Combine like terms: -7 + -42 = -49 -17n = -49 Divide each side by '-17'. n = 2.882352941 Simplifying n = 2.882352941
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