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Simplifying 8(k + -6) = -2k + 32 Reorder the terms: 8(-6 + k) = -2k + 32 (-6 * 8 + k * 8) = -2k + 32 (-48 + 8k) = -2k + 32 Reorder the terms: -48 + 8k = 32 + -2k Solving -48 + 8k = 32 + -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 + 8k + 2k = 32 + -2k + 2k Combine like terms: 8k + 2k = 10k -48 + 10k = 32 + -2k + 2k Combine like terms: -2k + 2k = 0 -48 + 10k = 32 + 0 -48 + 10k = 32 Add '48' to each side of the equation. -48 + 48 + 10k = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 10k = 32 + 48 10k = 32 + 48 Combine like terms: 32 + 48 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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