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Simplifying 7(7k + 2) = -33 + 2k Reorder the terms: 7(2 + 7k) = -33 + 2k (2 * 7 + 7k * 7) = -33 + 2k (14 + 49k) = -33 + 2k Solving 14 + 49k = -33 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 14 + 49k + -2k = -33 + 2k + -2k Combine like terms: 49k + -2k = 47k 14 + 47k = -33 + 2k + -2k Combine like terms: 2k + -2k = 0 14 + 47k = -33 + 0 14 + 47k = -33 Add '-14' to each side of the equation. 14 + -14 + 47k = -33 + -14 Combine like terms: 14 + -14 = 0 0 + 47k = -33 + -14 47k = -33 + -14 Combine like terms: -33 + -14 = -47 47k = -47 Divide each side by '47'. k = -1 Simplifying k = -1
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