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Simplifying 6(4n + -7) = 7n + 26 Reorder the terms: 6(-7 + 4n) = 7n + 26 (-7 * 6 + 4n * 6) = 7n + 26 (-42 + 24n) = 7n + 26 Reorder the terms: -42 + 24n = 26 + 7n Solving -42 + 24n = 26 + 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. -42 + 24n + -7n = 26 + 7n + -7n Combine like terms: 24n + -7n = 17n -42 + 17n = 26 + 7n + -7n Combine like terms: 7n + -7n = 0 -42 + 17n = 26 + 0 -42 + 17n = 26 Add '42' to each side of the equation. -42 + 42 + 17n = 26 + 42 Combine like terms: -42 + 42 = 0 0 + 17n = 26 + 42 17n = 26 + 42 Combine like terms: 26 + 42 = 68 17n = 68 Divide each side by '17'. n = 4 Simplifying n = 4
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