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Simplifying 5(6 + -5k) = -33 + -4k (6 * 5 + -5k * 5) = -33 + -4k (30 + -25k) = -33 + -4k Solving 30 + -25k = -33 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 30 + -25k + 4k = -33 + -4k + 4k Combine like terms: -25k + 4k = -21k 30 + -21k = -33 + -4k + 4k Combine like terms: -4k + 4k = 0 30 + -21k = -33 + 0 30 + -21k = -33 Add '-30' to each side of the equation. 30 + -30 + -21k = -33 + -30 Combine like terms: 30 + -30 = 0 0 + -21k = -33 + -30 -21k = -33 + -30 Combine like terms: -33 + -30 = -63 -21k = -63 Divide each side by '-21'. k = 3 Simplifying k = 3
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