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Simplifying 2k + 3(2k + 4) = 2(7x + -3) Reorder the terms: 2k + 3(4 + 2k) = 2(7x + -3) 2k + (4 * 3 + 2k * 3) = 2(7x + -3) 2k + (12 + 6k) = 2(7x + -3) Reorder the terms: 12 + 2k + 6k = 2(7x + -3) Combine like terms: 2k + 6k = 8k 12 + 8k = 2(7x + -3) Reorder the terms: 12 + 8k = 2(-3 + 7x) 12 + 8k = (-3 * 2 + 7x * 2) 12 + 8k = (-6 + 14x) Solving 12 + 8k = -6 + 14x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8k = -6 + -12 + 14x Combine like terms: 12 + -12 = 0 0 + 8k = -6 + -12 + 14x 8k = -6 + -12 + 14x Combine like terms: -6 + -12 = -18 8k = -18 + 14x Divide each side by '8'. k = -2.25 + 1.75x Simplifying k = -2.25 + 1.75x
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