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Simplifying 29 + 3k = 2(7k + -2) Reorder the terms: 29 + 3k = 2(-2 + 7k) 29 + 3k = (-2 * 2 + 7k * 2) 29 + 3k = (-4 + 14k) Solving 29 + 3k = -4 + 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. 29 + 3k + -14k = -4 + 14k + -14k Combine like terms: 3k + -14k = -11k 29 + -11k = -4 + 14k + -14k Combine like terms: 14k + -14k = 0 29 + -11k = -4 + 0 29 + -11k = -4 Add '-29' to each side of the equation. 29 + -29 + -11k = -4 + -29 Combine like terms: 29 + -29 = 0 0 + -11k = -4 + -29 -11k = -4 + -29 Combine like terms: -4 + -29 = -33 -11k = -33 Divide each side by '-11'. k = 3 Simplifying k = 3
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