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Simplifying 45 = -3(-3 + -4k) 45 = (-3 * -3 + -4k * -3) 45 = (9 + 12k) Solving 45 = 9 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 45 + -12k = 9 + 12k + -12k Combine like terms: 12k + -12k = 0 45 + -12k = 9 + 0 45 + -12k = 9 Add '-45' to each side of the equation. 45 + -45 + -12k = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -12k = 9 + -45 -12k = 9 + -45 Combine like terms: 9 + -45 = -36 -12k = -36 Divide each side by '-12'. k = 3 Simplifying k = 3
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