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Simplifying 8k + -32 = 10k + -1(1 + 2k) Reorder the terms: -32 + 8k = 10k + -1(1 + 2k) -32 + 8k = 10k + (1 * -1 + 2k * -1) -32 + 8k = 10k + (-1 + -2k) Reorder the terms: -32 + 8k = -1 + 10k + -2k Combine like terms: 10k + -2k = 8k -32 + 8k = -1 + 8k Add '-8k' to each side of the equation. -32 + 8k + -8k = -1 + 8k + -8k Combine like terms: 8k + -8k = 0 -32 + 0 = -1 + 8k + -8k -32 = -1 + 8k + -8k Combine like terms: 8k + -8k = 0 -32 = -1 + 0 -32 = -1 Solving -32 = -1 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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