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Simplifying 10k + -2(1.4k + 12) = 6(1.2 + 4) Reorder the terms: 10k + -2(12 + 1.4k) = 6(1.2 + 4) 10k + (12 * -2 + 1.4k * -2) = 6(1.2 + 4) 10k + (-24 + -2.8k) = 6(1.2 + 4) Reorder the terms: -24 + 10k + -2.8k = 6(1.2 + 4) Combine like terms: 10k + -2.8k = 7.2k -24 + 7.2k = 6(1.2 + 4) Combine like terms: 1.2 + 4 = 5.2 -24 + 7.2k = 6(5.2) Multiply 6 * 5.2 -24 + 7.2k = 31.2 Solving -24 + 7.2k = 31.2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7.2k = 31.2 + 24 Combine like terms: -24 + 24 = 0 0 + 7.2k = 31.2 + 24 7.2k = 31.2 + 24 Combine like terms: 31.2 + 24 = 55.2 7.2k = 55.2 Divide each side by '7.2'. k = 7.666666667 Simplifying k = 7.666666667
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