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Simplifying -4z + 7 = -8 + z Reorder the terms: 7 + -4z = -8 + z Solving 7 + -4z = -8 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 7 + -4z + -1z = -8 + z + -1z Combine like terms: -4z + -1z = -5z 7 + -5z = -8 + z + -1z Combine like terms: z + -1z = 0 7 + -5z = -8 + 0 7 + -5z = -8 Add '-7' to each side of the equation. 7 + -7 + -5z = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -8 + -7 -5z = -8 + -7 Combine like terms: -8 + -7 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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