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Simplifying -33 + 8k = -5(-4k + -3) Reorder the terms: -33 + 8k = -5(-3 + -4k) -33 + 8k = (-3 * -5 + -4k * -5) -33 + 8k = (15 + 20k) Solving -33 + 8k = 15 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -33 + 8k + -20k = 15 + 20k + -20k Combine like terms: 8k + -20k = -12k -33 + -12k = 15 + 20k + -20k Combine like terms: 20k + -20k = 0 -33 + -12k = 15 + 0 -33 + -12k = 15 Add '33' to each side of the equation. -33 + 33 + -12k = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -12k = 15 + 33 -12k = 15 + 33 Combine like terms: 15 + 33 = 48 -12k = 48 Divide each side by '-12'. k = -4 Simplifying k = -4
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