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Simplifying 2k + -3k = -8(7k + -1) + -8(1 + 7k) Combine like terms: 2k + -3k = -1k -1k = -8(7k + -1) + -8(1 + 7k) Reorder the terms: -1k = -8(-1 + 7k) + -8(1 + 7k) -1k = (-1 * -8 + 7k * -8) + -8(1 + 7k) -1k = (8 + -56k) + -8(1 + 7k) -1k = 8 + -56k + (1 * -8 + 7k * -8) -1k = 8 + -56k + (-8 + -56k) Reorder the terms: -1k = 8 + -8 + -56k + -56k Combine like terms: 8 + -8 = 0 -1k = 0 + -56k + -56k -1k = -56k + -56k Combine like terms: -56k + -56k = -112k -1k = -112k Solving -1k = -112k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '112k' to each side of the equation. -1k + 112k = -112k + 112k Combine like terms: -1k + 112k = 111k 111k = -112k + 112k Combine like terms: -112k + 112k = 0 111k = 0 Divide each side by '111'. k = 0 Simplifying k = 0
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