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Simplifying 0.25(30) + 0.25z = 0.12(30 + z) Multiply 0.25 * 30 7.5 + 0.25z = 0.12(30 + z) 7.5 + 0.25z = (30 * 0.12 + z * 0.12) 7.5 + 0.25z = (3.6 + 0.12z) Solving 7.5 + 0.25z = 3.6 + 0.12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.12z' to each side of the equation. 7.5 + 0.25z + -0.12z = 3.6 + 0.12z + -0.12z Combine like terms: 0.25z + -0.12z = 0.13z 7.5 + 0.13z = 3.6 + 0.12z + -0.12z Combine like terms: 0.12z + -0.12z = 0.00 7.5 + 0.13z = 3.6 + 0.00 7.5 + 0.13z = 3.6 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.13z = 3.6 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.13z = 3.6 + -7.5 0.13z = 3.6 + -7.5 Combine like terms: 3.6 + -7.5 = -3.9 0.13z = -3.9 Divide each side by '0.13'. z = -30 Simplifying z = -30
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