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Simplifying 24 + -6k = 2(-2 + 5k) 24 + -6k = (-2 * 2 + 5k * 2) 24 + -6k = (-4 + 10k) Solving 24 + -6k = -4 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 24 + -6k + -10k = -4 + 10k + -10k Combine like terms: -6k + -10k = -16k 24 + -16k = -4 + 10k + -10k Combine like terms: 10k + -10k = 0 24 + -16k = -4 + 0 24 + -16k = -4 Add '-24' to each side of the equation. 24 + -24 + -16k = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -16k = -4 + -24 -16k = -4 + -24 Combine like terms: -4 + -24 = -28 -16k = -28 Divide each side by '-16'. k = 1.75 Simplifying k = 1.75
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