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Simplifying -24 = 2(-4 + k) -24 = (-4 * 2 + k * 2) -24 = (-8 + 2k) Solving -24 = -8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -24 + -2k = -8 + 2k + -2k Combine like terms: 2k + -2k = 0 -24 + -2k = -8 + 0 -24 + -2k = -8 Add '24' to each side of the equation. -24 + 24 + -2k = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -2k = -8 + 24 -2k = -8 + 24 Combine like terms: -8 + 24 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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