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Simplifying 14k + -4 = (2k + 2) Reorder the terms: -4 + 14k = (2k + 2) Reorder the terms: -4 + 14k = (2 + 2k) Remove parenthesis around (2 + 2k) -4 + 14k = 2 + 2k Solving -4 + 14k = 2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -4 + 14k + -2k = 2 + 2k + -2k Combine like terms: 14k + -2k = 12k -4 + 12k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + 12k = 2 + 0 -4 + 12k = 2 Add '4' to each side of the equation. -4 + 4 + 12k = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 12k = 2 + 4 12k = 2 + 4 Combine like terms: 2 + 4 = 6 12k = 6 Divide each side by '12'. k = 0.5 Simplifying k = 0.5
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