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Simplifying 1.8 + 1.2(k + 0.6) = 3.6 + 1.8k Reorder the terms: 1.8 + 1.2(0.6 + k) = 3.6 + 1.8k 1.8 + (0.6 * 1.2 + k * 1.2) = 3.6 + 1.8k 1.8 + (0.72 + 1.2k) = 3.6 + 1.8k Combine like terms: 1.8 + 0.72 = 2.52 2.52 + 1.2k = 3.6 + 1.8k Solving 2.52 + 1.2k = 3.6 + 1.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.8k' to each side of the equation. 2.52 + 1.2k + -1.8k = 3.6 + 1.8k + -1.8k Combine like terms: 1.2k + -1.8k = -0.6k 2.52 + -0.6k = 3.6 + 1.8k + -1.8k Combine like terms: 1.8k + -1.8k = 0.0 2.52 + -0.6k = 3.6 + 0.0 2.52 + -0.6k = 3.6 Add '-2.52' to each side of the equation. 2.52 + -2.52 + -0.6k = 3.6 + -2.52 Combine like terms: 2.52 + -2.52 = 0.00 0.00 + -0.6k = 3.6 + -2.52 -0.6k = 3.6 + -2.52 Combine like terms: 3.6 + -2.52 = 1.08 -0.6k = 1.08 Divide each side by '-0.6'. k = -1.8 Simplifying k = -1.8
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