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Simplifying -4 + -6k = 2 + 4(6 + 6k) -4 + -6k = 2 + (6 * 4 + 6k * 4) -4 + -6k = 2 + (24 + 24k) Combine like terms: 2 + 24 = 26 -4 + -6k = 26 + 24k Solving -4 + -6k = 26 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -4 + -6k + -24k = 26 + 24k + -24k Combine like terms: -6k + -24k = -30k -4 + -30k = 26 + 24k + -24k Combine like terms: 24k + -24k = 0 -4 + -30k = 26 + 0 -4 + -30k = 26 Add '4' to each side of the equation. -4 + 4 + -30k = 26 + 4 Combine like terms: -4 + 4 = 0 0 + -30k = 26 + 4 -30k = 26 + 4 Combine like terms: 26 + 4 = 30 -30k = 30 Divide each side by '-30'. k = -1 Simplifying k = -1
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