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Simplifying 3.2k + 0.6 = -3.7 + 8.5(k + -1.6) Reorder the terms: 0.6 + 3.2k = -3.7 + 8.5(k + -1.6) Reorder the terms: 0.6 + 3.2k = -3.7 + 8.5(-1.6 + k) 0.6 + 3.2k = -3.7 + (-1.6 * 8.5 + k * 8.5) 0.6 + 3.2k = -3.7 + (-13.6 + 8.5k) Combine like terms: -3.7 + -13.6 = -17.3 0.6 + 3.2k = -17.3 + 8.5k Solving 0.6 + 3.2k = -17.3 + 8.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.5k' to each side of the equation. 0.6 + 3.2k + -8.5k = -17.3 + 8.5k + -8.5k Combine like terms: 3.2k + -8.5k = -5.3k 0.6 + -5.3k = -17.3 + 8.5k + -8.5k Combine like terms: 8.5k + -8.5k = 0.0 0.6 + -5.3k = -17.3 + 0.0 0.6 + -5.3k = -17.3 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -5.3k = -17.3 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -5.3k = -17.3 + -0.6 -5.3k = -17.3 + -0.6 Combine like terms: -17.3 + -0.6 = -17.9 -5.3k = -17.9 Divide each side by '-5.3'. k = 3.377358491 Simplifying k = 3.377358491
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