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Simplifying 3(k + -3) + -6 = 6k + -1(5k + -3) Reorder the terms: 3(-3 + k) + -6 = 6k + -1(5k + -3) (-3 * 3 + k * 3) + -6 = 6k + -1(5k + -3) (-9 + 3k) + -6 = 6k + -1(5k + -3) Reorder the terms: -9 + -6 + 3k = 6k + -1(5k + -3) Combine like terms: -9 + -6 = -15 -15 + 3k = 6k + -1(5k + -3) Reorder the terms: -15 + 3k = 6k + -1(-3 + 5k) -15 + 3k = 6k + (-3 * -1 + 5k * -1) -15 + 3k = 6k + (3 + -5k) Reorder the terms: -15 + 3k = 3 + 6k + -5k Combine like terms: 6k + -5k = 1k -15 + 3k = 3 + 1k Solving -15 + 3k = 3 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -15 + 3k + -1k = 3 + 1k + -1k Combine like terms: 3k + -1k = 2k -15 + 2k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -15 + 2k = 3 + 0 -15 + 2k = 3 Add '15' to each side of the equation. -15 + 15 + 2k = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = 3 + 15 2k = 3 + 15 Combine like terms: 3 + 15 = 18 2k = 18 Divide each side by '2'. k = 9 Simplifying k = 9
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