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Simplifying 4(2k + -2) = -2k + -32 Reorder the terms: 4(-2 + 2k) = -2k + -32 (-2 * 4 + 2k * 4) = -2k + -32 (-8 + 8k) = -2k + -32 Reorder the terms: -8 + 8k = -32 + -2k Solving -8 + 8k = -32 + -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. -8 + 8k + 2k = -32 + -2k + 2k Combine like terms: 8k + 2k = 10k -8 + 10k = -32 + -2k + 2k Combine like terms: -2k + 2k = 0 -8 + 10k = -32 + 0 -8 + 10k = -32 Add '8' to each side of the equation. -8 + 8 + 10k = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 10k = -32 + 8 10k = -32 + 8 Combine like terms: -32 + 8 = -24 10k = -24 Divide each side by '10'. k = -2.4 Simplifying k = -2.4
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