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Simplifying 3(k + -2) + -7 = 6k + -1(5k + -3) Reorder the terms: 3(-2 + k) + -7 = 6k + -1(5k + -3) (-2 * 3 + k * 3) + -7 = 6k + -1(5k + -3) (-6 + 3k) + -7 = 6k + -1(5k + -3) Reorder the terms: -6 + -7 + 3k = 6k + -1(5k + -3) Combine like terms: -6 + -7 = -13 -13 + 3k = 6k + -1(5k + -3) Reorder the terms: -13 + 3k = 6k + -1(-3 + 5k) -13 + 3k = 6k + (-3 * -1 + 5k * -1) -13 + 3k = 6k + (3 + -5k) Reorder the terms: -13 + 3k = 3 + 6k + -5k Combine like terms: 6k + -5k = 1k -13 + 3k = 3 + 1k Solving -13 + 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. -13 + 3k + -1k = 3 + 1k + -1k Combine like terms: 3k + -1k = 2k -13 + 2k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -13 + 2k = 3 + 0 -13 + 2k = 3 Add '13' to each side of the equation. -13 + 13 + 2k = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 3 + 13 2k = 3 + 13 Combine like terms: 3 + 13 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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