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Simplifying 3(k + -3) + -7 = 6k + -1(5k + -2) Reorder the terms: 3(-3 + k) + -7 = 6k + -1(5k + -2) (-3 * 3 + k * 3) + -7 = 6k + -1(5k + -2) (-9 + 3k) + -7 = 6k + -1(5k + -2) Reorder the terms: -9 + -7 + 3k = 6k + -1(5k + -2) Combine like terms: -9 + -7 = -16 -16 + 3k = 6k + -1(5k + -2) Reorder the terms: -16 + 3k = 6k + -1(-2 + 5k) -16 + 3k = 6k + (-2 * -1 + 5k * -1) -16 + 3k = 6k + (2 + -5k) Reorder the terms: -16 + 3k = 2 + 6k + -5k Combine like terms: 6k + -5k = 1k -16 + 3k = 2 + 1k Solving -16 + 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. -16 + 3k + -1k = 2 + 1k + -1k Combine like terms: 3k + -1k = 2k -16 + 2k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -16 + 2k = 2 + 0 -16 + 2k = 2 Add '16' to each side of the equation. -16 + 16 + 2k = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 2k = 2 + 16 2k = 2 + 16 Combine like terms: 2 + 16 = 18 2k = 18 Divide each side by '2'. k = 9 Simplifying k = 9
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