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Simplifying 0.06(z + -300) + 0.052 = 0.70z + -205 Reorder the terms: 0.06(-300 + z) + 0.052 = 0.70z + -205 (-300 * 0.06 + z * 0.06) + 0.052 = 0.70z + -205 (-18 + 0.06z) + 0.052 = 0.70z + -205 Reorder the terms: -18 + 0.052 + 0.06z = 0.70z + -205 Combine like terms: -18 + 0.052 = -17.948 -17.948 + 0.06z = 0.70z + -205 Reorder the terms: -17.948 + 0.06z = -205 + 0.70z Solving -17.948 + 0.06z = -205 + 0.70z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.70z' to each side of the equation. -17.948 + 0.06z + -0.70z = -205 + 0.70z + -0.70z Combine like terms: 0.06z + -0.70z = -0.64z -17.948 + -0.64z = -205 + 0.70z + -0.70z Combine like terms: 0.70z + -0.70z = 0.00 -17.948 + -0.64z = -205 + 0.00 -17.948 + -0.64z = -205 Add '17.948' to each side of the equation. -17.948 + 17.948 + -0.64z = -205 + 17.948 Combine like terms: -17.948 + 17.948 = 0.000 0.000 + -0.64z = -205 + 17.948 -0.64z = -205 + 17.948 Combine like terms: -205 + 17.948 = -187.052 -0.64z = -187.052 Divide each side by '-0.64'. z = 292.26875 Simplifying z = 292.26875
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