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Simplifying -6(8k + 2) = -2(10 + k) Reorder the terms: -6(2 + 8k) = -2(10 + k) (2 * -6 + 8k * -6) = -2(10 + k) (-12 + -48k) = -2(10 + k) -12 + -48k = (10 * -2 + k * -2) -12 + -48k = (-20 + -2k) Solving -12 + -48k = -20 + -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. -12 + -48k + 2k = -20 + -2k + 2k Combine like terms: -48k + 2k = -46k -12 + -46k = -20 + -2k + 2k Combine like terms: -2k + 2k = 0 -12 + -46k = -20 + 0 -12 + -46k = -20 Add '12' to each side of the equation. -12 + 12 + -46k = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -46k = -20 + 12 -46k = -20 + 12 Combine like terms: -20 + 12 = -8 -46k = -8 Divide each side by '-46'. k = 0.1739130435 Simplifying k = 0.1739130435
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