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Simplifying -2z + 8 = -7 + 4z Reorder the terms: 8 + -2z = -7 + 4z Solving 8 + -2z = -7 + 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. 8 + -2z + -4z = -7 + 4z + -4z Combine like terms: -2z + -4z = -6z 8 + -6z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + -6z = -7 + 0 8 + -6z = -7 Add '-8' to each side of the equation. 8 + -8 + -6z = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -6z = -7 + -8 -6z = -7 + -8 Combine like terms: -7 + -8 = -15 -6z = -15 Divide each side by '-6'. z = 2.5 Simplifying z = 2.5
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