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Simplifying 15k + 4(-2 + -4k) = -7.8 15k + (-2 * 4 + -4k * 4) = -7.8 15k + (-8 + -16k) = -7.8 Reorder the terms: -8 + 15k + -16k = -7.8 Combine like terms: 15k + -16k = -1k -8 + -1k = -7.8 Solving -8 + -1k = -7.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1k = -7.8 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = -7.8 + 8 -1k = -7.8 + 8 Combine like terms: -7.8 + 8 = 0.2 -1k = 0.2 Divide each side by '-1'. k = -0.2 Simplifying k = -0.2
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