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Simplifying -3 + 8(-6k + 6) = -11 + 8k Reorder the terms: -3 + 8(6 + -6k) = -11 + 8k -3 + (6 * 8 + -6k * 8) = -11 + 8k -3 + (48 + -48k) = -11 + 8k Combine like terms: -3 + 48 = 45 45 + -48k = -11 + 8k Solving 45 + -48k = -11 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 45 + -48k + -8k = -11 + 8k + -8k Combine like terms: -48k + -8k = -56k 45 + -56k = -11 + 8k + -8k Combine like terms: 8k + -8k = 0 45 + -56k = -11 + 0 45 + -56k = -11 Add '-45' to each side of the equation. 45 + -45 + -56k = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -56k = -11 + -45 -56k = -11 + -45 Combine like terms: -11 + -45 = -56 -56k = -56 Divide each side by '-56'. k = 1 Simplifying k = 1
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