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Simplifying 3(z + -1) + -1z + -7 = 2z + 6 Reorder the terms: 3(-1 + z) + -1z + -7 = 2z + 6 (-1 * 3 + z * 3) + -1z + -7 = 2z + 6 (-3 + 3z) + -1z + -7 = 2z + 6 Reorder the terms: -3 + -7 + 3z + -1z = 2z + 6 Combine like terms: -3 + -7 = -10 -10 + 3z + -1z = 2z + 6 Combine like terms: 3z + -1z = 2z -10 + 2z = 2z + 6 Reorder the terms: -10 + 2z = 6 + 2z Add '-2z' to each side of the equation. -10 + 2z + -2z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + 0 = 6 + 2z + -2z -10 = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 = 6 + 0 -10 = 6 Solving -10 = 6 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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