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Simplifying -10 + -10k = -1(7k + -6) + -3(-8 + k) Reorder the terms: -10 + -10k = -1(-6 + 7k) + -3(-8 + k) -10 + -10k = (-6 * -1 + 7k * -1) + -3(-8 + k) -10 + -10k = (6 + -7k) + -3(-8 + k) -10 + -10k = 6 + -7k + (-8 * -3 + k * -3) -10 + -10k = 6 + -7k + (24 + -3k) Reorder the terms: -10 + -10k = 6 + 24 + -7k + -3k Combine like terms: 6 + 24 = 30 -10 + -10k = 30 + -7k + -3k Combine like terms: -7k + -3k = -10k -10 + -10k = 30 + -10k Add '10k' to each side of the equation. -10 + -10k + 10k = 30 + -10k + 10k Combine like terms: -10k + 10k = 0 -10 + 0 = 30 + -10k + 10k -10 = 30 + -10k + 10k Combine like terms: -10k + 10k = 0 -10 = 30 + 0 -10 = 30 Solving -10 = 30 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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