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Simplifying 3.4k + -1(k + 1.5) = 0 Reorder the terms: 3.4k + -1(1.5 + k) = 0 3.4k + (1.5 * -1 + k * -1) = 0 3.4k + (-1.5 + -1k) = 0 Reorder the terms: -1.5 + 3.4k + -1k = 0 Combine like terms: 3.4k + -1k = 2.4k -1.5 + 2.4k = 0 Solving -1.5 + 2.4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 2.4k = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2.4k = 0 + 1.5 2.4k = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 2.4k = 1.5 Divide each side by '2.4'. k = 0.625 Simplifying k = 0.625
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