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Simplifying -1(3k + -7) + -3k = 5(-1k + 3) Reorder the terms: -1(-7 + 3k) + -3k = 5(-1k + 3) (-7 * -1 + 3k * -1) + -3k = 5(-1k + 3) (7 + -3k) + -3k = 5(-1k + 3) Combine like terms: -3k + -3k = -6k 7 + -6k = 5(-1k + 3) Reorder the terms: 7 + -6k = 5(3 + -1k) 7 + -6k = (3 * 5 + -1k * 5) 7 + -6k = (15 + -5k) Solving 7 + -6k = 15 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 7 + -6k + 5k = 15 + -5k + 5k Combine like terms: -6k + 5k = -1k 7 + -1k = 15 + -5k + 5k Combine like terms: -5k + 5k = 0 7 + -1k = 15 + 0 7 + -1k = 15 Add '-7' to each side of the equation. 7 + -7 + -1k = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 15 + -7 -1k = 15 + -7 Combine like terms: 15 + -7 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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