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Simplifying -45 = -5(k + -4) + -8k Reorder the terms: -45 = -5(-4 + k) + -8k -45 = (-4 * -5 + k * -5) + -8k -45 = (20 + -5k) + -8k Combine like terms: -5k + -8k = -13k -45 = 20 + -13k Solving -45 = 20 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -45 + 13k = 20 + -13k + 13k Combine like terms: -13k + 13k = 0 -45 + 13k = 20 + 0 -45 + 13k = 20 Add '45' to each side of the equation. -45 + 45 + 13k = 20 + 45 Combine like terms: -45 + 45 = 0 0 + 13k = 20 + 45 13k = 20 + 45 Combine like terms: 20 + 45 = 65 13k = 65 Divide each side by '13'. k = 5 Simplifying k = 5
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