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