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Simplifying 8z + -7(z + 1) = 3(z + -7) + -2z Reorder the terms: 8z + -7(1 + z) = 3(z + -7) + -2z 8z + (1 * -7 + z * -7) = 3(z + -7) + -2z 8z + (-7 + -7z) = 3(z + -7) + -2z Reorder the terms: -7 + 8z + -7z = 3(z + -7) + -2z Combine like terms: 8z + -7z = 1z -7 + 1z = 3(z + -7) + -2z Reorder the terms: -7 + 1z = 3(-7 + z) + -2z -7 + 1z = (-7 * 3 + z * 3) + -2z -7 + 1z = (-21 + 3z) + -2z Combine like terms: 3z + -2z = 1z -7 + 1z = -21 + 1z Add '-1z' to each side of the equation. -7 + 1z + -1z = -21 + 1z + -1z Combine like terms: 1z + -1z = 0 -7 + 0 = -21 + 1z + -1z -7 = -21 + 1z + -1z Combine like terms: 1z + -1z = 0 -7 = -21 + 0 -7 = -21 Solving -7 = -21 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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