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Simplifying 3(k + -6) + -4 = -2(k + 1) Reorder the terms: 3(-6 + k) + -4 = -2(k + 1) (-6 * 3 + k * 3) + -4 = -2(k + 1) (-18 + 3k) + -4 = -2(k + 1) Reorder the terms: -18 + -4 + 3k = -2(k + 1) Combine like terms: -18 + -4 = -22 -22 + 3k = -2(k + 1) Reorder the terms: -22 + 3k = -2(1 + k) -22 + 3k = (1 * -2 + k * -2) -22 + 3k = (-2 + -2k) Solving -22 + 3k = -2 + -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. -22 + 3k + 2k = -2 + -2k + 2k Combine like terms: 3k + 2k = 5k -22 + 5k = -2 + -2k + 2k Combine like terms: -2k + 2k = 0 -22 + 5k = -2 + 0 -22 + 5k = -2 Add '22' to each side of the equation. -22 + 22 + 5k = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 5k = -2 + 22 5k = -2 + 22 Combine like terms: -2 + 22 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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