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Simplifying 6 + -4(6n + 7) = 122 Reorder the terms: 6 + -4(7 + 6n) = 122 6 + (7 * -4 + 6n * -4) = 122 6 + (-28 + -24n) = 122 Combine like terms: 6 + -28 = -22 -22 + -24n = 122 Solving -22 + -24n = 122 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -24n = 122 + 22 Combine like terms: -22 + 22 = 0 0 + -24n = 122 + 22 -24n = 122 + 22 Combine like terms: 122 + 22 = 144 -24n = 144 Divide each side by '-24'. n = -6 Simplifying n = -6
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