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Simplifying 1.3z + -0.8(z + 14) = 0.5(z + 4) Reorder the terms: 1.3z + -0.8(14 + z) = 0.5(z + 4) 1.3z + (14 * -0.8 + z * -0.8) = 0.5(z + 4) 1.3z + (-11.2 + -0.8z) = 0.5(z + 4) Reorder the terms: -11.2 + 1.3z + -0.8z = 0.5(z + 4) Combine like terms: 1.3z + -0.8z = 0.5z -11.2 + 0.5z = 0.5(z + 4) Reorder the terms: -11.2 + 0.5z = 0.5(4 + z) -11.2 + 0.5z = (4 * 0.5 + z * 0.5) -11.2 + 0.5z = (2 + 0.5z) Add '-0.5z' to each side of the equation. -11.2 + 0.5z + -0.5z = 2 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -11.2 + 0.0 = 2 + 0.5z + -0.5z -11.2 = 2 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -11.2 = 2 + 0.0 -11.2 = 2 Solving -11.2 = 2 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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