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Simplifying 8k + -5(-5k + 3) = 33k + 15 Reorder the terms: 8k + -5(3 + -5k) = 33k + 15 8k + (3 * -5 + -5k * -5) = 33k + 15 8k + (-15 + 25k) = 33k + 15 Reorder the terms: -15 + 8k + 25k = 33k + 15 Combine like terms: 8k + 25k = 33k -15 + 33k = 33k + 15 Reorder the terms: -15 + 33k = 15 + 33k Add '-33k' to each side of the equation. -15 + 33k + -33k = 15 + 33k + -33k Combine like terms: 33k + -33k = 0 -15 + 0 = 15 + 33k + -33k -15 = 15 + 33k + -33k Combine like terms: 33k + -33k = 0 -15 = 15 + 0 -15 = 15 Solving -15 = 15 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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