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Simplifying 0.8z + 3.74 = z + 1.5 Reorder the terms: 3.74 + 0.8z = z + 1.5 Reorder the terms: 3.74 + 0.8z = 1.5 + z Solving 3.74 + 0.8z = 1.5 + z 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. 3.74 + 0.8z + -1z = 1.5 + z + -1z Combine like terms: 0.8z + -1z = -0.2z 3.74 + -0.2z = 1.5 + z + -1z Combine like terms: z + -1z = 0 3.74 + -0.2z = 1.5 + 0 3.74 + -0.2z = 1.5 Add '-3.74' to each side of the equation. 3.74 + -3.74 + -0.2z = 1.5 + -3.74 Combine like terms: 3.74 + -3.74 = 0.00 0.00 + -0.2z = 1.5 + -3.74 -0.2z = 1.5 + -3.74 Combine like terms: 1.5 + -3.74 = -2.24 -0.2z = -2.24 Divide each side by '-0.2'. z = 11.2 Simplifying z = 11.2
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