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Simplifying 3(k + -3) + -5 = 6k + -1(5k + -2) Reorder the terms: 3(-3 + k) + -5 = 6k + -1(5k + -2) (-3 * 3 + k * 3) + -5 = 6k + -1(5k + -2) (-9 + 3k) + -5 = 6k + -1(5k + -2) Reorder the terms: -9 + -5 + 3k = 6k + -1(5k + -2) Combine like terms: -9 + -5 = -14 -14 + 3k = 6k + -1(5k + -2) Reorder the terms: -14 + 3k = 6k + -1(-2 + 5k) -14 + 3k = 6k + (-2 * -1 + 5k * -1) -14 + 3k = 6k + (2 + -5k) Reorder the terms: -14 + 3k = 2 + 6k + -5k Combine like terms: 6k + -5k = 1k -14 + 3k = 2 + 1k Solving -14 + 3k = 2 + 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. -14 + 3k + -1k = 2 + 1k + -1k Combine like terms: 3k + -1k = 2k -14 + 2k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -14 + 2k = 2 + 0 -14 + 2k = 2 Add '14' to each side of the equation. -14 + 14 + 2k = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2k = 2 + 14 2k = 2 + 14 Combine like terms: 2 + 14 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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