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Simplifying 0.4(k + -6) + 0.03(k + 30) = 0.43k Reorder the terms: 0.4(-6 + k) + 0.03(k + 30) = 0.43k (-6 * 0.4 + k * 0.4) + 0.03(k + 30) = 0.43k (-2.4 + 0.4k) + 0.03(k + 30) = 0.43k Reorder the terms: -2.4 + 0.4k + 0.03(30 + k) = 0.43k -2.4 + 0.4k + (30 * 0.03 + k * 0.03) = 0.43k -2.4 + 0.4k + (0.9 + 0.03k) = 0.43k Reorder the terms: -2.4 + 0.9 + 0.4k + 0.03k = 0.43k Combine like terms: -2.4 + 0.9 = -1.5 -1.5 + 0.4k + 0.03k = 0.43k Combine like terms: 0.4k + 0.03k = 0.43k -1.5 + 0.43k = 0.43k Add '-0.43k' to each side of the equation. -1.5 + 0.43k + -0.43k = 0.43k + -0.43k Combine like terms: 0.43k + -0.43k = 0.00 -1.5 + 0.00 = 0.43k + -0.43k -1.5 = 0.43k + -0.43k Combine like terms: 0.43k + -0.43k = 0.00 -1.5 = 0.00 Solving -1.5 = 0.00 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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