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Simplifying 13 + -1(3k + -5) = 4(3k + 2) Reorder the terms: 13 + -1(-5 + 3k) = 4(3k + 2) 13 + (-5 * -1 + 3k * -1) = 4(3k + 2) 13 + (5 + -3k) = 4(3k + 2) Combine like terms: 13 + 5 = 18 18 + -3k = 4(3k + 2) Reorder the terms: 18 + -3k = 4(2 + 3k) 18 + -3k = (2 * 4 + 3k * 4) 18 + -3k = (8 + 12k) Solving 18 + -3k = 8 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 18 + -3k + -12k = 8 + 12k + -12k Combine like terms: -3k + -12k = -15k 18 + -15k = 8 + 12k + -12k Combine like terms: 12k + -12k = 0 18 + -15k = 8 + 0 18 + -15k = 8 Add '-18' to each side of the equation. 18 + -18 + -15k = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -15k = 8 + -18 -15k = 8 + -18 Combine like terms: 8 + -18 = -10 -15k = -10 Divide each side by '-15'. k = 0.6666666667 Simplifying k = 0.6666666667
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