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Simplifying -33 + 3k = 7(2k + 2) + 8 Reorder the terms: -33 + 3k = 7(2 + 2k) + 8 -33 + 3k = (2 * 7 + 2k * 7) + 8 -33 + 3k = (14 + 14k) + 8 Reorder the terms: -33 + 3k = 14 + 8 + 14k Combine like terms: 14 + 8 = 22 -33 + 3k = 22 + 14k Solving -33 + 3k = 22 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -33 + 3k + -14k = 22 + 14k + -14k Combine like terms: 3k + -14k = -11k -33 + -11k = 22 + 14k + -14k Combine like terms: 14k + -14k = 0 -33 + -11k = 22 + 0 -33 + -11k = 22 Add '33' to each side of the equation. -33 + 33 + -11k = 22 + 33 Combine like terms: -33 + 33 = 0 0 + -11k = 22 + 33 -11k = 22 + 33 Combine like terms: 22 + 33 = 55 -11k = 55 Divide each side by '-11'. k = -5 Simplifying k = -5
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