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Simplifying 4k + -6 + -3 = -16.5 Reorder the terms: -6 + -3 + 4k = -16.5 Combine like terms: -6 + -3 = -9 -9 + 4k = -16.5 Solving -9 + 4k = -16.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4k = -16.5 + 9 Combine like terms: -9 + 9 = 0 0 + 4k = -16.5 + 9 4k = -16.5 + 9 Combine like terms: -16.5 + 9 = -7.5 4k = -7.5 Divide each side by '4'. k = -1.875 Simplifying k = -1.875
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