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Simplifying 1.3z + -0.8(z + 11) = 0.5(z + 2) Reorder the terms: 1.3z + -0.8(11 + z) = 0.5(z + 2) 1.3z + (11 * -0.8 + z * -0.8) = 0.5(z + 2) 1.3z + (-8.8 + -0.8z) = 0.5(z + 2) Reorder the terms: -8.8 + 1.3z + -0.8z = 0.5(z + 2) Combine like terms: 1.3z + -0.8z = 0.5z -8.8 + 0.5z = 0.5(z + 2) Reorder the terms: -8.8 + 0.5z = 0.5(2 + z) -8.8 + 0.5z = (2 * 0.5 + z * 0.5) -8.8 + 0.5z = (1 + 0.5z) Add '-0.5z' to each side of the equation. -8.8 + 0.5z + -0.5z = 1 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -8.8 + 0.0 = 1 + 0.5z + -0.5z -8.8 = 1 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -8.8 = 1 + 0.0 -8.8 = 1 Solving -8.8 = 1 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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