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Simplifying 7z + -3(4 + -1z) = 5(2z) + 12 7z + (4 * -3 + -1z * -3) = 5(2z) + 12 7z + (-12 + 3z) = 5(2z) + 12 Reorder the terms: -12 + 7z + 3z = 5(2z) + 12 Combine like terms: 7z + 3z = 10z -12 + 10z = 5(2z) + 12 Remove parenthesis around (2z) -12 + 10z = 5 * 2z + 12 Multiply 5 * 2 -12 + 10z = 10z + 12 Reorder the terms: -12 + 10z = 12 + 10z Add '-10z' to each side of the equation. -12 + 10z + -10z = 12 + 10z + -10z Combine like terms: 10z + -10z = 0 -12 + 0 = 12 + 10z + -10z -12 = 12 + 10z + -10z Combine like terms: 10z + -10z = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 12 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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