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Simplifying 4(-1 + -10k) = -4.5 + -39k (-1 * 4 + -10k * 4) = -4.5 + -39k (-4 + -40k) = -4.5 + -39k Solving -4 + -40k = -4.5 + -39k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '39k' to each side of the equation. -4 + -40k + 39k = -4.5 + -39k + 39k Combine like terms: -40k + 39k = -1k -4 + -1k = -4.5 + -39k + 39k Combine like terms: -39k + 39k = 0 -4 + -1k = -4.5 + 0 -4 + -1k = -4.5 Add '4' to each side of the equation. -4 + 4 + -1k = -4.5 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = -4.5 + 4 -1k = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 -1k = -0.5 Divide each side by '-1'. k = 0.5 Simplifying k = 0.5
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