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Simplifying 2 + -6(8k + 2) = 374 Reorder the terms: 2 + -6(2 + 8k) = 374 2 + (2 * -6 + 8k * -6) = 374 2 + (-12 + -48k) = 374 Combine like terms: 2 + -12 = -10 -10 + -48k = 374 Solving -10 + -48k = 374 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -48k = 374 + 10 Combine like terms: -10 + 10 = 0 0 + -48k = 374 + 10 -48k = 374 + 10 Combine like terms: 374 + 10 = 384 -48k = 384 Divide each side by '-48'. k = -8 Simplifying k = -8
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