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Simplifying 3k + 4(4 + -5k) = 135 3k + (4 * 4 + -5k * 4) = 135 3k + (16 + -20k) = 135 Reorder the terms: 16 + 3k + -20k = 135 Combine like terms: 3k + -20k = -17k 16 + -17k = 135 Solving 16 + -17k = 135 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -17k = 135 + -16 Combine like terms: 16 + -16 = 0 0 + -17k = 135 + -16 -17k = 135 + -16 Combine like terms: 135 + -16 = 119 -17k = 119 Divide each side by '-17'. k = -7 Simplifying k = -7
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