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Simplifying -6[3 + 8k] = 9[10 + -12k] [3 * -6 + 8k * -6] = 9[10 + -12k] [-18 + -48k] = 9[10 + -12k] -18 + -48k = [10 * 9 + -12k * 9] -18 + -48k = [90 + -108k] Solving -18 + -48k = 90 + -108k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '108k' to each side of the equation. -18 + -48k + 108k = 90 + -108k + 108k Combine like terms: -48k + 108k = 60k -18 + 60k = 90 + -108k + 108k Combine like terms: -108k + 108k = 0 -18 + 60k = 90 + 0 -18 + 60k = 90 Add '18' to each side of the equation. -18 + 18 + 60k = 90 + 18 Combine like terms: -18 + 18 = 0 0 + 60k = 90 + 18 60k = 90 + 18 Combine like terms: 90 + 18 = 108 60k = 108 Divide each side by '60'. k = 1.8 Simplifying k = 1.8
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