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Simplifying 0.50z + 0.2 = 0.15z + -10.5 Reorder the terms: 0.2 + 0.50z = 0.15z + -10.5 Reorder the terms: 0.2 + 0.50z = -10.5 + 0.15z Solving 0.2 + 0.50z = -10.5 + 0.15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.15z' to each side of the equation. 0.2 + 0.50z + -0.15z = -10.5 + 0.15z + -0.15z Combine like terms: 0.50z + -0.15z = 0.35z 0.2 + 0.35z = -10.5 + 0.15z + -0.15z Combine like terms: 0.15z + -0.15z = 0.00 0.2 + 0.35z = -10.5 + 0.00 0.2 + 0.35z = -10.5 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.35z = -10.5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.35z = -10.5 + -0.2 0.35z = -10.5 + -0.2 Combine like terms: -10.5 + -0.2 = -10.7 0.35z = -10.7 Divide each side by '0.35'. z = -30.57142857 Simplifying z = -30.57142857
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