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Simplifying -4.6 + 10.7z = (10z + 4) Reorder the terms: -4.6 + 10.7z = (4 + 10z) Remove parenthesis around (4 + 10z) -4.6 + 10.7z = 4 + 10z Solving -4.6 + 10.7z = 4 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -4.6 + 10.7z + -10z = 4 + 10z + -10z Combine like terms: 10.7z + -10z = 0.7z -4.6 + 0.7z = 4 + 10z + -10z Combine like terms: 10z + -10z = 0 -4.6 + 0.7z = 4 + 0 -4.6 + 0.7z = 4 Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.7z = 4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.7z = 4 + 4.6 0.7z = 4 + 4.6 Combine like terms: 4 + 4.6 = 8.6 0.7z = 8.6 Divide each side by '0.7'. z = 12.28571429 Simplifying z = 12.28571429
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