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Simplifying 195 = 5(39 + -0.8y + 0.4z) + 4y + 2z 195 = (39 * 5 + -0.8y * 5 + 0.4z * 5) + 4y + 2z 195 = (195 + -4y + 2z) + 4y + 2z Reorder the terms: 195 = 195 + -4y + 4y + 2z + 2z Combine like terms: -4y + 4y = 0 195 = 195 + 0 + 2z + 2z 195 = 195 + 2z + 2z Combine like terms: 2z + 2z = 4z 195 = 195 + 4z Add '-195' to each side of the equation. 195 + -195 = 195 + -195 + 4z Combine like terms: 195 + -195 = 0 0 = 195 + -195 + 4z Combine like terms: 195 + -195 = 0 0 = 0 + 4z 0 = 4z Solving 0 = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 0 + -4z = 4z + -4z Remove the zero: -4z = 4z + -4z Combine like terms: 4z + -4z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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