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Simplifying 2k + 4 = 3(2x + -6) Reorder the terms: 4 + 2k = 3(2x + -6) Reorder the terms: 4 + 2k = 3(-6 + 2x) 4 + 2k = (-6 * 3 + 2x * 3) 4 + 2k = (-18 + 6x) Solving 4 + 2k = -18 + 6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2k = -18 + -4 + 6x Combine like terms: 4 + -4 = 0 0 + 2k = -18 + -4 + 6x 2k = -18 + -4 + 6x Combine like terms: -18 + -4 = -22 2k = -22 + 6x Divide each side by '2'. k = -11 + 3x Simplifying k = -11 + 3x
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