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