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Simplifying 3(k + -2) + -5 = 6k + -1(5k + -1) Reorder the terms: 3(-2 + k) + -5 = 6k + -1(5k + -1) (-2 * 3 + k * 3) + -5 = 6k + -1(5k + -1) (-6 + 3k) + -5 = 6k + -1(5k + -1) Reorder the terms: -6 + -5 + 3k = 6k + -1(5k + -1) Combine like terms: -6 + -5 = -11 -11 + 3k = 6k + -1(5k + -1) Reorder the terms: -11 + 3k = 6k + -1(-1 + 5k) -11 + 3k = 6k + (-1 * -1 + 5k * -1) -11 + 3k = 6k + (1 + -5k) Reorder the terms: -11 + 3k = 1 + 6k + -5k Combine like terms: 6k + -5k = 1k -11 + 3k = 1 + 1k Solving -11 + 3k = 1 + 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. -11 + 3k + -1k = 1 + 1k + -1k Combine like terms: 3k + -1k = 2k -11 + 2k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -11 + 2k = 1 + 0 -11 + 2k = 1 Add '11' to each side of the equation. -11 + 11 + 2k = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2k = 1 + 11 2k = 1 + 11 Combine like terms: 1 + 11 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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