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Simplifying 0.5 + -2.5z = 3.16 + 0.16z Solving 0.5 + -2.5z = 3.16 + 0.16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.16z' to each side of the equation. 0.5 + -2.5z + -0.16z = 3.16 + 0.16z + -0.16z Combine like terms: -2.5z + -0.16z = -2.66z 0.5 + -2.66z = 3.16 + 0.16z + -0.16z Combine like terms: 0.16z + -0.16z = 0.00 0.5 + -2.66z = 3.16 + 0.00 0.5 + -2.66z = 3.16 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2.66z = 3.16 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.66z = 3.16 + -0.5 -2.66z = 3.16 + -0.5 Combine like terms: 3.16 + -0.5 = 2.66 -2.66z = 2.66 Divide each side by '-2.66'. z = -1 Simplifying z = -1
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