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Simplifying 0.06(z + -300) + 0.05z = 0.07z + -205 Reorder the terms: 0.06(-300 + z) + 0.05z = 0.07z + -205 (-300 * 0.06 + z * 0.06) + 0.05z = 0.07z + -205 (-18 + 0.06z) + 0.05z = 0.07z + -205 Combine like terms: 0.06z + 0.05z = 0.11z -18 + 0.11z = 0.07z + -205 Reorder the terms: -18 + 0.11z = -205 + 0.07z Solving -18 + 0.11z = -205 + 0.07z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.07z' to each side of the equation. -18 + 0.11z + -0.07z = -205 + 0.07z + -0.07z Combine like terms: 0.11z + -0.07z = 0.04z -18 + 0.04z = -205 + 0.07z + -0.07z Combine like terms: 0.07z + -0.07z = 0.00 -18 + 0.04z = -205 + 0.00 -18 + 0.04z = -205 Add '18' to each side of the equation. -18 + 18 + 0.04z = -205 + 18 Combine like terms: -18 + 18 = 0 0 + 0.04z = -205 + 18 0.04z = -205 + 18 Combine like terms: -205 + 18 = -187 0.04z = -187 Divide each side by '0.04'. z = -4675 Simplifying z = -4675
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