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Simplifying 5z + -96z + 2z + 4 = 2(6z + -78) Reorder the terms: 4 + 5z + -96z + 2z = 2(6z + -78) Combine like terms: 5z + -96z = -91z 4 + -91z + 2z = 2(6z + -78) Combine like terms: -91z + 2z = -89z 4 + -89z = 2(6z + -78) Reorder the terms: 4 + -89z = 2(-78 + 6z) 4 + -89z = (-78 * 2 + 6z * 2) 4 + -89z = (-156 + 12z) Solving 4 + -89z = -156 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 4 + -89z + -12z = -156 + 12z + -12z Combine like terms: -89z + -12z = -101z 4 + -101z = -156 + 12z + -12z Combine like terms: 12z + -12z = 0 4 + -101z = -156 + 0 4 + -101z = -156 Add '-4' to each side of the equation. 4 + -4 + -101z = -156 + -4 Combine like terms: 4 + -4 = 0 0 + -101z = -156 + -4 -101z = -156 + -4 Combine like terms: -156 + -4 = -160 -101z = -160 Divide each side by '-101'. z = 1.584158416 Simplifying z = 1.584158416
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