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Simplifying 5(2z + -3) + -1z = 3(3z + -1) + 15 Reorder the terms: 5(-3 + 2z) + -1z = 3(3z + -1) + 15 (-3 * 5 + 2z * 5) + -1z = 3(3z + -1) + 15 (-15 + 10z) + -1z = 3(3z + -1) + 15 Combine like terms: 10z + -1z = 9z -15 + 9z = 3(3z + -1) + 15 Reorder the terms: -15 + 9z = 3(-1 + 3z) + 15 -15 + 9z = (-1 * 3 + 3z * 3) + 15 -15 + 9z = (-3 + 9z) + 15 Reorder the terms: -15 + 9z = -3 + 15 + 9z Combine like terms: -3 + 15 = 12 -15 + 9z = 12 + 9z Add '-9z' to each side of the equation. -15 + 9z + -9z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -15 + 0 = 12 + 9z + -9z -15 = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -15 = 12 + 0 -15 = 12 Solving -15 = 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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