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Simplifying 3(5k + 1) = 6(3k + -2) Reorder the terms: 3(1 + 5k) = 6(3k + -2) (1 * 3 + 5k * 3) = 6(3k + -2) (3 + 15k) = 6(3k + -2) Reorder the terms: 3 + 15k = 6(-2 + 3k) 3 + 15k = (-2 * 6 + 3k * 6) 3 + 15k = (-12 + 18k) Solving 3 + 15k = -12 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 3 + 15k + -18k = -12 + 18k + -18k Combine like terms: 15k + -18k = -3k 3 + -3k = -12 + 18k + -18k Combine like terms: 18k + -18k = 0 3 + -3k = -12 + 0 3 + -3k = -12 Add '-3' to each side of the equation. 3 + -3 + -3k = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = -12 + -3 -3k = -12 + -3 Combine like terms: -12 + -3 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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