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Simplifying 0.50(0.75k + -6) = 0.625(k + 4) + -0.25k Reorder the terms: 0.50(-6 + 0.75k) = 0.625(k + 4) + -0.25k (-6 * 0.50 + 0.75k * 0.50) = 0.625(k + 4) + -0.25k (-3 + 0.375k) = 0.625(k + 4) + -0.25k Reorder the terms: -3 + 0.375k = 0.625(4 + k) + -0.25k -3 + 0.375k = (4 * 0.625 + k * 0.625) + -0.25k -3 + 0.375k = (2.5 + 0.625k) + -0.25k Combine like terms: 0.625k + -0.25k = 0.375k -3 + 0.375k = 2.5 + 0.375k Add '-0.375k' to each side of the equation. -3 + 0.375k + -0.375k = 2.5 + 0.375k + -0.375k Combine like terms: 0.375k + -0.375k = 0.000 -3 + 0.000 = 2.5 + 0.375k + -0.375k -3 = 2.5 + 0.375k + -0.375k Combine like terms: 0.375k + -0.375k = 0.000 -3 = 2.5 + 0.000 -3 = 2.5 Solving -3 = 2.5 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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