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Simplifying 2k + 34 = 4(x + 5) Reorder the terms: 34 + 2k = 4(x + 5) Reorder the terms: 34 + 2k = 4(5 + x) 34 + 2k = (5 * 4 + x * 4) 34 + 2k = (20 + 4x) Solving 34 + 2k = 20 + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 2k = 20 + -34 + 4x Combine like terms: 34 + -34 = 0 0 + 2k = 20 + -34 + 4x 2k = 20 + -34 + 4x Combine like terms: 20 + -34 = -14 2k = -14 + 4x Divide each side by '2'. k = -7 + 2x Simplifying k = -7 + 2x
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