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Simplifying -8(k + 6) = -32 + 8k Reorder the terms: -8(6 + k) = -32 + 8k (6 * -8 + k * -8) = -32 + 8k (-48 + -8k) = -32 + 8k Solving -48 + -8k = -32 + 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. -48 + -8k + -8k = -32 + 8k + -8k Combine like terms: -8k + -8k = -16k -48 + -16k = -32 + 8k + -8k Combine like terms: 8k + -8k = 0 -48 + -16k = -32 + 0 -48 + -16k = -32 Add '48' to each side of the equation. -48 + 48 + -16k = -32 + 48 Combine like terms: -48 + 48 = 0 0 + -16k = -32 + 48 -16k = -32 + 48 Combine like terms: -32 + 48 = 16 -16k = 16 Divide each side by '-16'. k = -1 Simplifying k = -1
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