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Simplifying z + 78 = 2z + -2 Reorder the terms: 78 + z = 2z + -2 Reorder the terms: 78 + z = -2 + 2z Solving 78 + z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 78 + z + -2z = -2 + 2z + -2z Combine like terms: z + -2z = -1z 78 + -1z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 78 + -1z = -2 + 0 78 + -1z = -2 Add '-78' to each side of the equation. 78 + -78 + -1z = -2 + -78 Combine like terms: 78 + -78 = 0 0 + -1z = -2 + -78 -1z = -2 + -78 Combine like terms: -2 + -78 = -80 -1z = -80 Divide each side by '-1'. z = 80 Simplifying z = 80
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