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Simplifying 1.3z + -0.6(z + 17) = 0.7(z + 2) Reorder the terms: 1.3z + -0.6(17 + z) = 0.7(z + 2) 1.3z + (17 * -0.6 + z * -0.6) = 0.7(z + 2) 1.3z + (-10.2 + -0.6z) = 0.7(z + 2) Reorder the terms: -10.2 + 1.3z + -0.6z = 0.7(z + 2) Combine like terms: 1.3z + -0.6z = 0.7z -10.2 + 0.7z = 0.7(z + 2) Reorder the terms: -10.2 + 0.7z = 0.7(2 + z) -10.2 + 0.7z = (2 * 0.7 + z * 0.7) -10.2 + 0.7z = (1.4 + 0.7z) Add '-0.7z' to each side of the equation. -10.2 + 0.7z + -0.7z = 1.4 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 -10.2 + 0.0 = 1.4 + 0.7z + -0.7z -10.2 = 1.4 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 -10.2 = 1.4 + 0.0 -10.2 = 1.4 Solving -10.2 = 1.4 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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