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Simplifying 8k + -7 + -5k = -12k + -2k Reorder the terms: -7 + 8k + -5k = -12k + -2k Combine like terms: 8k + -5k = 3k -7 + 3k = -12k + -2k Combine like terms: -12k + -2k = -14k -7 + 3k = -14k Solving -7 + 3k = -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -7 + 3k + 14k = -14k + 14k Combine like terms: 3k + 14k = 17k -7 + 17k = -14k + 14k Combine like terms: -14k + 14k = 0 -7 + 17k = 0 Add '7' to each side of the equation. -7 + 7 + 17k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 17k = 0 + 7 17k = 0 + 7 Combine like terms: 0 + 7 = 7 17k = 7 Divide each side by '17'. k = 0.4117647059 Simplifying k = 0.4117647059
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