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Simplifying 1.4z + -0.8(z + 13) = 0.6(z + 6) Reorder the terms: 1.4z + -0.8(13 + z) = 0.6(z + 6) 1.4z + (13 * -0.8 + z * -0.8) = 0.6(z + 6) 1.4z + (-10.4 + -0.8z) = 0.6(z + 6) Reorder the terms: -10.4 + 1.4z + -0.8z = 0.6(z + 6) Combine like terms: 1.4z + -0.8z = 0.6z -10.4 + 0.6z = 0.6(z + 6) Reorder the terms: -10.4 + 0.6z = 0.6(6 + z) -10.4 + 0.6z = (6 * 0.6 + z * 0.6) -10.4 + 0.6z = (3.6 + 0.6z) Add '-0.6z' to each side of the equation. -10.4 + 0.6z + -0.6z = 3.6 + 0.6z + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 -10.4 + 0.0 = 3.6 + 0.6z + -0.6z -10.4 = 3.6 + 0.6z + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 -10.4 = 3.6 + 0.0 -10.4 = 3.6 Solving -10.4 = 3.6 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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