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Simplifying 6z + -30 = 2z + 10 Reorder the terms: -30 + 6z = 2z + 10 Reorder the terms: -30 + 6z = 10 + 2z Solving -30 + 6z = 10 + 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. -30 + 6z + -2z = 10 + 2z + -2z Combine like terms: 6z + -2z = 4z -30 + 4z = 10 + 2z + -2z Combine like terms: 2z + -2z = 0 -30 + 4z = 10 + 0 -30 + 4z = 10 Add '30' to each side of the equation. -30 + 30 + 4z = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 4z = 10 + 30 4z = 10 + 30 Combine like terms: 10 + 30 = 40 4z = 40 Divide each side by '4'. z = 10 Simplifying z = 10
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