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Simplifying 16 + -0.4(k + -12) = 0.6(5k + -12) Reorder the terms: 16 + -0.4(-12 + k) = 0.6(5k + -12) 16 + (-12 * -0.4 + k * -0.4) = 0.6(5k + -12) 16 + (4.8 + -0.4k) = 0.6(5k + -12) Combine like terms: 16 + 4.8 = 20.8 20.8 + -0.4k = 0.6(5k + -12) Reorder the terms: 20.8 + -0.4k = 0.6(-12 + 5k) 20.8 + -0.4k = (-12 * 0.6 + 5k * 0.6) 20.8 + -0.4k = (-7.2 + 3k) Solving 20.8 + -0.4k = -7.2 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 20.8 + -0.4k + -3k = -7.2 + 3k + -3k Combine like terms: -0.4k + -3k = -3.4k 20.8 + -3.4k = -7.2 + 3k + -3k Combine like terms: 3k + -3k = 0 20.8 + -3.4k = -7.2 + 0 20.8 + -3.4k = -7.2 Add '-20.8' to each side of the equation. 20.8 + -20.8 + -3.4k = -7.2 + -20.8 Combine like terms: 20.8 + -20.8 = 0.0 0.0 + -3.4k = -7.2 + -20.8 -3.4k = -7.2 + -20.8 Combine like terms: -7.2 + -20.8 = -28 -3.4k = -28 Divide each side by '-3.4'. k = 8.235294118 Simplifying k = 8.235294118
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