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Simplifying 3(4 + -5k) = 2k + -4 (4 * 3 + -5k * 3) = 2k + -4 (12 + -15k) = 2k + -4 Reorder the terms: 12 + -15k = -4 + 2k Solving 12 + -15k = -4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 12 + -15k + -2k = -4 + 2k + -2k Combine like terms: -15k + -2k = -17k 12 + -17k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -17k = -4 + 0 12 + -17k = -4 Add '-12' to each side of the equation. 12 + -12 + -17k = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -17k = -4 + -12 -17k = -4 + -12 Combine like terms: -4 + -12 = -16 -17k = -16 Divide each side by '-17'. k = 0.9411764706 Simplifying k = 0.9411764706
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