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Simplifying 226 = -7(5k + -4) + 2k Reorder the terms: 226 = -7(-4 + 5k) + 2k 226 = (-4 * -7 + 5k * -7) + 2k 226 = (28 + -35k) + 2k Combine like terms: -35k + 2k = -33k 226 = 28 + -33k Solving 226 = 28 + -33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33k' to each side of the equation. 226 + 33k = 28 + -33k + 33k Combine like terms: -33k + 33k = 0 226 + 33k = 28 + 0 226 + 33k = 28 Add '-226' to each side of the equation. 226 + -226 + 33k = 28 + -226 Combine like terms: 226 + -226 = 0 0 + 33k = 28 + -226 33k = 28 + -226 Combine like terms: 28 + -226 = -198 33k = -198 Divide each side by '33'. k = -6 Simplifying k = -6
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