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Simplifying 0.60(z + -300) + 0.05 = 0.70z + -205 Reorder the terms: 0.60(-300 + z) + 0.05 = 0.70z + -205 (-300 * 0.60 + z * 0.60) + 0.05 = 0.70z + -205 (-180 + 0.60z) + 0.05 = 0.70z + -205 Reorder the terms: -180 + 0.05 + 0.60z = 0.70z + -205 Combine like terms: -180 + 0.05 = -179.95 -179.95 + 0.60z = 0.70z + -205 Reorder the terms: -179.95 + 0.60z = -205 + 0.70z Solving -179.95 + 0.60z = -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. -179.95 + 0.60z + -0.70z = -205 + 0.70z + -0.70z Combine like terms: 0.60z + -0.70z = -0.1z -179.95 + -0.1z = -205 + 0.70z + -0.70z Combine like terms: 0.70z + -0.70z = 0.00 -179.95 + -0.1z = -205 + 0.00 -179.95 + -0.1z = -205 Add '179.95' to each side of the equation. -179.95 + 179.95 + -0.1z = -205 + 179.95 Combine like terms: -179.95 + 179.95 = 0.00 0.00 + -0.1z = -205 + 179.95 -0.1z = -205 + 179.95 Combine like terms: -205 + 179.95 = -25.05 -0.1z = -25.05 Divide each side by '-0.1'. z = 250.5 Simplifying z = 250.5
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