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Simplifying -20 + 3k = 4(5k + -6) Reorder the terms: -20 + 3k = 4(-6 + 5k) -20 + 3k = (-6 * 4 + 5k * 4) -20 + 3k = (-24 + 20k) Solving -20 + 3k = -24 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -20 + 3k + -20k = -24 + 20k + -20k Combine like terms: 3k + -20k = -17k -20 + -17k = -24 + 20k + -20k Combine like terms: 20k + -20k = 0 -20 + -17k = -24 + 0 -20 + -17k = -24 Add '20' to each side of the equation. -20 + 20 + -17k = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -17k = -24 + 20 -17k = -24 + 20 Combine like terms: -24 + 20 = -4 -17k = -4 Divide each side by '-17'. k = 0.2352941176 Simplifying k = 0.2352941176
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