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Simplifying -6k + -12 = 4(1 + 2k) Reorder the terms: -12 + -6k = 4(1 + 2k) -12 + -6k = (1 * 4 + 2k * 4) -12 + -6k = (4 + 8k) Solving -12 + -6k = 4 + 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. -12 + -6k + -8k = 4 + 8k + -8k Combine like terms: -6k + -8k = -14k -12 + -14k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 -12 + -14k = 4 + 0 -12 + -14k = 4 Add '12' to each side of the equation. -12 + 12 + -14k = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -14k = 4 + 12 -14k = 4 + 12 Combine like terms: 4 + 12 = 16 -14k = 16 Divide each side by '-14'. k = -1.142857143 Simplifying k = -1.142857143
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