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Simplifying 3z + -76 = z + 10 Reorder the terms: -76 + 3z = z + 10 Reorder the terms: -76 + 3z = 10 + z Solving -76 + 3z = 10 + 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. -76 + 3z + -1z = 10 + z + -1z Combine like terms: 3z + -1z = 2z -76 + 2z = 10 + z + -1z Combine like terms: z + -1z = 0 -76 + 2z = 10 + 0 -76 + 2z = 10 Add '76' to each side of the equation. -76 + 76 + 2z = 10 + 76 Combine like terms: -76 + 76 = 0 0 + 2z = 10 + 76 2z = 10 + 76 Combine like terms: 10 + 76 = 86 2z = 86 Divide each side by '2'. z = 43 Simplifying z = 43
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