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Simplifying 0.75z + 5 = 1z + 2 Reorder the terms: 5 + 0.75z = 1z + 2 Reorder the terms: 5 + 0.75z = 2 + 1z Solving 5 + 0.75z = 2 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5 + 0.75z + -1z = 2 + 1z + -1z Combine like terms: 0.75z + -1z = -0.25z 5 + -0.25z = 2 + 1z + -1z Combine like terms: 1z + -1z = 0 5 + -0.25z = 2 + 0 5 + -0.25z = 2 Add '-5' to each side of the equation. 5 + -5 + -0.25z = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -0.25z = 2 + -5 -0.25z = 2 + -5 Combine like terms: 2 + -5 = -3 -0.25z = -3 Divide each side by '-0.25'. z = 12 Simplifying z = 12
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