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Simplifying 3k + 3 = 6(k + -4) Reorder the terms: 3 + 3k = 6(k + -4) Reorder the terms: 3 + 3k = 6(-4 + k) 3 + 3k = (-4 * 6 + k * 6) 3 + 3k = (-24 + 6k) Solving 3 + 3k = -24 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 3 + 3k + -6k = -24 + 6k + -6k Combine like terms: 3k + -6k = -3k 3 + -3k = -24 + 6k + -6k Combine like terms: 6k + -6k = 0 3 + -3k = -24 + 0 3 + -3k = -24 Add '-3' to each side of the equation. 3 + -3 + -3k = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = -24 + -3 -3k = -24 + -3 Combine like terms: -24 + -3 = -27 -3k = -27 Divide each side by '-3'. k = 9 Simplifying k = 9
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