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Simplifying 12k + -6 = 16k + -32 Reorder the terms: -6 + 12k = 16k + -32 Reorder the terms: -6 + 12k = -32 + 16k Solving -6 + 12k = -32 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -6 + 12k + -16k = -32 + 16k + -16k Combine like terms: 12k + -16k = -4k -6 + -4k = -32 + 16k + -16k Combine like terms: 16k + -16k = 0 -6 + -4k = -32 + 0 -6 + -4k = -32 Add '6' to each side of the equation. -6 + 6 + -4k = -32 + 6 Combine like terms: -6 + 6 = 0 0 + -4k = -32 + 6 -4k = -32 + 6 Combine like terms: -32 + 6 = -26 -4k = -26 Divide each side by '-4'. k = 6.5 Simplifying k = 6.5
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