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Simplifying 6(k + -8) = 8(1 + -1k) + 6k Reorder the terms: 6(-8 + k) = 8(1 + -1k) + 6k (-8 * 6 + k * 6) = 8(1 + -1k) + 6k (-48 + 6k) = 8(1 + -1k) + 6k -48 + 6k = (1 * 8 + -1k * 8) + 6k -48 + 6k = (8 + -8k) + 6k Combine like terms: -8k + 6k = -2k -48 + 6k = 8 + -2k Solving -48 + 6k = 8 + -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 + 6k + 2k = 8 + -2k + 2k Combine like terms: 6k + 2k = 8k -48 + 8k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 -48 + 8k = 8 + 0 -48 + 8k = 8 Add '48' to each side of the equation. -48 + 48 + 8k = 8 + 48 Combine like terms: -48 + 48 = 0 0 + 8k = 8 + 48 8k = 8 + 48 Combine like terms: 8 + 48 = 56 8k = 56 Divide each side by '8'. k = 7 Simplifying k = 7
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