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Simplifying 4(2k + -3) = 5(6 + -1k) Reorder the terms: 4(-3 + 2k) = 5(6 + -1k) (-3 * 4 + 2k * 4) = 5(6 + -1k) (-12 + 8k) = 5(6 + -1k) -12 + 8k = (6 * 5 + -1k * 5) -12 + 8k = (30 + -5k) Solving -12 + 8k = 30 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -12 + 8k + 5k = 30 + -5k + 5k Combine like terms: 8k + 5k = 13k -12 + 13k = 30 + -5k + 5k Combine like terms: -5k + 5k = 0 -12 + 13k = 30 + 0 -12 + 13k = 30 Add '12' to each side of the equation. -12 + 12 + 13k = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 13k = 30 + 12 13k = 30 + 12 Combine like terms: 30 + 12 = 42 13k = 42 Divide each side by '13'. k = 3.230769231 Simplifying k = 3.230769231
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