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Simplifying 4.06 = 12.6(5 + 3.5k) + -2k 4.06 = (5 * 12.6 + 3.5k * 12.6) + -2k 4.06 = (63 + 44.1k) + -2k Combine like terms: 44.1k + -2k = 42.1k 4.06 = 63 + 42.1k Solving 4.06 = 63 + 42.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42.1k' to each side of the equation. 4.06 + -42.1k = 63 + 42.1k + -42.1k Combine like terms: 42.1k + -42.1k = 0.0 4.06 + -42.1k = 63 + 0.0 4.06 + -42.1k = 63 Add '-4.06' to each side of the equation. 4.06 + -4.06 + -42.1k = 63 + -4.06 Combine like terms: 4.06 + -4.06 = 0.00 0.00 + -42.1k = 63 + -4.06 -42.1k = 63 + -4.06 Combine like terms: 63 + -4.06 = 58.94 -42.1k = 58.94 Divide each side by '-42.1'. k = -1.4 Simplifying k = -1.4
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