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Simplifying 2z + -3(z + 1) = -1(7z + 8) + z Reorder the terms: 2z + -3(1 + z) = -1(7z + 8) + z 2z + (1 * -3 + z * -3) = -1(7z + 8) + z 2z + (-3 + -3z) = -1(7z + 8) + z Reorder the terms: -3 + 2z + -3z = -1(7z + 8) + z Combine like terms: 2z + -3z = -1z -3 + -1z = -1(7z + 8) + z Reorder the terms: -3 + -1z = -1(8 + 7z) + z -3 + -1z = (8 * -1 + 7z * -1) + z -3 + -1z = (-8 + -7z) + z Combine like terms: -7z + z = -6z -3 + -1z = -8 + -6z Solving -3 + -1z = -8 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -3 + -1z + 6z = -8 + -6z + 6z Combine like terms: -1z + 6z = 5z -3 + 5z = -8 + -6z + 6z Combine like terms: -6z + 6z = 0 -3 + 5z = -8 + 0 -3 + 5z = -8 Add '3' to each side of the equation. -3 + 3 + 5z = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 5z = -8 + 3 5z = -8 + 3 Combine like terms: -8 + 3 = -5 5z = -5 Divide each side by '5'. z = -1 Simplifying z = -1
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