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Simplifying 3z + -20 = 7z + 10 Reorder the terms: -20 + 3z = 7z + 10 Reorder the terms: -20 + 3z = 10 + 7z Solving -20 + 3z = 10 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -20 + 3z + -7z = 10 + 7z + -7z Combine like terms: 3z + -7z = -4z -20 + -4z = 10 + 7z + -7z Combine like terms: 7z + -7z = 0 -20 + -4z = 10 + 0 -20 + -4z = 10 Add '20' to each side of the equation. -20 + 20 + -4z = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -4z = 10 + 20 -4z = 10 + 20 Combine like terms: 10 + 20 = 30 -4z = 30 Divide each side by '-4'. z = -7.5 Simplifying z = -7.5
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