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Simplifying 9 * 42 = (9 * 40) + (9k) Multiply 9 * 42 378 = (9 * 40) + (9k) Multiply 9 * 40 378 = (360) + (9k) 378 = 360 + (9k) Solving 378 = 360 + (9k) Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '(-9k)' to each side of the equation. 378 + (-9k) = 360 + (9k) + (-9k) Combine like terms: (9k) + (-9k) = 0 378 + (-9k) = 360 + 0 378 + (-9k) = 360 Add '-378' to each side of the equation. 378 + -378 + (-9k) = 360 + -378 Combine like terms: 378 + -378 = 0 0 + (-9k) = 360 + -378 (-9k) = 360 + -378 Combine like terms: 360 + -378 = -18 (-9k) = -18 Divide each side by '-9'. k = 2 Simplifying k = 2
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