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Simplifying (-3z + 7) = (4z + -8) Reorder the terms: (7 + -3z) = (4z + -8) Remove parenthesis around (7 + -3z) 7 + -3z = (4z + -8) Reorder the terms: 7 + -3z = (-8 + 4z) Remove parenthesis around (-8 + 4z) 7 + -3z = -8 + 4z Solving 7 + -3z = -8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7 + -3z + -4z = -8 + 4z + -4z Combine like terms: -3z + -4z = -7z 7 + -7z = -8 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + -7z = -8 + 0 7 + -7z = -8 Add '-7' to each side of the equation. 7 + -7 + -7z = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = -8 + -7 -7z = -8 + -7 Combine like terms: -8 + -7 = -15 -7z = -15 Divide each side by '-7'. z = 2.142857143 Simplifying z = 2.142857143
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