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Simplifying 6k + -8(-3k + -6) = 16 + -2k Reorder the terms: 6k + -8(-6 + -3k) = 16 + -2k 6k + (-6 * -8 + -3k * -8) = 16 + -2k 6k + (48 + 24k) = 16 + -2k Reorder the terms: 48 + 6k + 24k = 16 + -2k Combine like terms: 6k + 24k = 30k 48 + 30k = 16 + -2k Solving 48 + 30k = 16 + -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. 48 + 30k + 2k = 16 + -2k + 2k Combine like terms: 30k + 2k = 32k 48 + 32k = 16 + -2k + 2k Combine like terms: -2k + 2k = 0 48 + 32k = 16 + 0 48 + 32k = 16 Add '-48' to each side of the equation. 48 + -48 + 32k = 16 + -48 Combine like terms: 48 + -48 = 0 0 + 32k = 16 + -48 32k = 16 + -48 Combine like terms: 16 + -48 = -32 32k = -32 Divide each side by '32'. k = -1 Simplifying k = -1
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