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Simplifying 6z + -78 = 5z + -50 Reorder the terms: -78 + 6z = 5z + -50 Reorder the terms: -78 + 6z = -50 + 5z Solving -78 + 6z = -50 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -78 + 6z + -5z = -50 + 5z + -5z Combine like terms: 6z + -5z = 1z -78 + 1z = -50 + 5z + -5z Combine like terms: 5z + -5z = 0 -78 + 1z = -50 + 0 -78 + 1z = -50 Add '78' to each side of the equation. -78 + 78 + 1z = -50 + 78 Combine like terms: -78 + 78 = 0 0 + 1z = -50 + 78 1z = -50 + 78 Combine like terms: -50 + 78 = 28 1z = 28 Divide each side by '1'. z = 28 Simplifying z = 28
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