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Simplifying 8z + 78 = 2x + 114 Reorder the terms: 78 + 8z = 2x + 114 Reorder the terms: 78 + 8z = 114 + 2x Solving 78 + 8z = 114 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 8z = 114 + -78 + 2x Combine like terms: 78 + -78 = 0 0 + 8z = 114 + -78 + 2x 8z = 114 + -78 + 2x Combine like terms: 114 + -78 = 36 8z = 36 + 2x Divide each side by '8'. z = 4.5 + 0.25x Simplifying z = 4.5 + 0.25x
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