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Simplifying 3z + -2(1 + -1z) = 3(z + 1) + 2z 3z + (1 * -2 + -1z * -2) = 3(z + 1) + 2z 3z + (-2 + 2z) = 3(z + 1) + 2z Reorder the terms: -2 + 3z + 2z = 3(z + 1) + 2z Combine like terms: 3z + 2z = 5z -2 + 5z = 3(z + 1) + 2z Reorder the terms: -2 + 5z = 3(1 + z) + 2z -2 + 5z = (1 * 3 + z * 3) + 2z -2 + 5z = (3 + 3z) + 2z Combine like terms: 3z + 2z = 5z -2 + 5z = 3 + 5z Add '-5z' to each side of the equation. -2 + 5z + -5z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + 0 = 3 + 5z + -5z -2 = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 = 3 + 0 -2 = 3 Solving -2 = 3 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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