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Simplifying 1.3z + -0.6(z + 10) = 0.7(z + 4) Reorder the terms: 1.3z + -0.6(10 + z) = 0.7(z + 4) 1.3z + (10 * -0.6 + z * -0.6) = 0.7(z + 4) 1.3z + (-6 + -0.6z) = 0.7(z + 4) Reorder the terms: -6 + 1.3z + -0.6z = 0.7(z + 4) Combine like terms: 1.3z + -0.6z = 0.7z -6 + 0.7z = 0.7(z + 4) Reorder the terms: -6 + 0.7z = 0.7(4 + z) -6 + 0.7z = (4 * 0.7 + z * 0.7) -6 + 0.7z = (2.8 + 0.7z) Add '-0.7z' to each side of the equation. -6 + 0.7z + -0.7z = 2.8 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 -6 + 0.0 = 2.8 + 0.7z + -0.7z -6 = 2.8 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 -6 = 2.8 + 0.0 -6 = 2.8 Solving -6 = 2.8 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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