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Simplifying -4(8k + -3) = -36 + 8k Reorder the terms: -4(-3 + 8k) = -36 + 8k (-3 * -4 + 8k * -4) = -36 + 8k (12 + -32k) = -36 + 8k Solving 12 + -32k = -36 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 12 + -32k + -8k = -36 + 8k + -8k Combine like terms: -32k + -8k = -40k 12 + -40k = -36 + 8k + -8k Combine like terms: 8k + -8k = 0 12 + -40k = -36 + 0 12 + -40k = -36 Add '-12' to each side of the equation. 12 + -12 + -40k = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -40k = -36 + -12 -40k = -36 + -12 Combine like terms: -36 + -12 = -48 -40k = -48 Divide each side by '-40'. k = 1.2 Simplifying k = 1.2
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