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Simplifying 8z + 3.74 = z + 1.5 Reorder the terms: 3.74 + 8z = z + 1.5 Reorder the terms: 3.74 + 8z = 1.5 + z Solving 3.74 + 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 + 8z + -1z = 1.5 + z + -1z Combine like terms: 8z + -1z = 7z 3.74 + 7z = 1.5 + z + -1z Combine like terms: z + -1z = 0 3.74 + 7z = 1.5 + 0 3.74 + 7z = 1.5 Add '-3.74' to each side of the equation. 3.74 + -3.74 + 7z = 1.5 + -3.74 Combine like terms: 3.74 + -3.74 = 0.00 0.00 + 7z = 1.5 + -3.74 7z = 1.5 + -3.74 Combine like terms: 1.5 + -3.74 = -2.24 7z = -2.24 Divide each side by '7'. z = -0.32 Simplifying z = -0.32
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