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Simplifying 3(k + 11) + -14.7 = -2.7 Reorder the terms: 3(11 + k) + -14.7 = -2.7 (11 * 3 + k * 3) + -14.7 = -2.7 (33 + 3k) + -14.7 = -2.7 Reorder the terms: 33 + -14.7 + 3k = -2.7 Combine like terms: 33 + -14.7 = 18.3 18.3 + 3k = -2.7 Solving 18.3 + 3k = -2.7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18.3' to each side of the equation. 18.3 + -18.3 + 3k = -2.7 + -18.3 Combine like terms: 18.3 + -18.3 = 0.0 0.0 + 3k = -2.7 + -18.3 3k = -2.7 + -18.3 Combine like terms: -2.7 + -18.3 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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