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Simplifying -7k + 15 = -1(3k + -3) Reorder the terms: 15 + -7k = -1(3k + -3) Reorder the terms: 15 + -7k = -1(-3 + 3k) 15 + -7k = (-3 * -1 + 3k * -1) 15 + -7k = (3 + -3k) Solving 15 + -7k = 3 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 15 + -7k + 3k = 3 + -3k + 3k Combine like terms: -7k + 3k = -4k 15 + -4k = 3 + -3k + 3k Combine like terms: -3k + 3k = 0 15 + -4k = 3 + 0 15 + -4k = 3 Add '-15' to each side of the equation. 15 + -15 + -4k = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -4k = 3 + -15 -4k = 3 + -15 Combine like terms: 3 + -15 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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