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Simplifying 8(k + -6) = 6(k + 2) Reorder the terms: 8(-6 + k) = 6(k + 2) (-6 * 8 + k * 8) = 6(k + 2) (-48 + 8k) = 6(k + 2) Reorder the terms: -48 + 8k = 6(2 + k) -48 + 8k = (2 * 6 + k * 6) -48 + 8k = (12 + 6k) Solving -48 + 8k = 12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -48 + 8k + -6k = 12 + 6k + -6k Combine like terms: 8k + -6k = 2k -48 + 2k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 -48 + 2k = 12 + 0 -48 + 2k = 12 Add '48' to each side of the equation. -48 + 48 + 2k = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 2k = 12 + 48 2k = 12 + 48 Combine like terms: 12 + 48 = 60 2k = 60 Divide each side by '2'. k = 30 Simplifying k = 30
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