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Simplifying 18 + -18k + -11k = -6(8k + 19) + -20 Combine like terms: -18k + -11k = -29k 18 + -29k = -6(8k + 19) + -20 Reorder the terms: 18 + -29k = -6(19 + 8k) + -20 18 + -29k = (19 * -6 + 8k * -6) + -20 18 + -29k = (-114 + -48k) + -20 Reorder the terms: 18 + -29k = -114 + -20 + -48k Combine like terms: -114 + -20 = -134 18 + -29k = -134 + -48k Solving 18 + -29k = -134 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. 18 + -29k + 48k = -134 + -48k + 48k Combine like terms: -29k + 48k = 19k 18 + 19k = -134 + -48k + 48k Combine like terms: -48k + 48k = 0 18 + 19k = -134 + 0 18 + 19k = -134 Add '-18' to each side of the equation. 18 + -18 + 19k = -134 + -18 Combine like terms: 18 + -18 = 0 0 + 19k = -134 + -18 19k = -134 + -18 Combine like terms: -134 + -18 = -152 19k = -152 Divide each side by '19'. k = -8 Simplifying k = -8
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