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Simplifying 0.75z + -1 = 0.25(z + 8) Reorder the terms: -1 + 0.75z = 0.25(z + 8) Reorder the terms: -1 + 0.75z = 0.25(8 + z) -1 + 0.75z = (8 * 0.25 + z * 0.25) -1 + 0.75z = (2 + 0.25z) Solving -1 + 0.75z = 2 + 0.25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.25z' to each side of the equation. -1 + 0.75z + -0.25z = 2 + 0.25z + -0.25z Combine like terms: 0.75z + -0.25z = 0.5z -1 + 0.5z = 2 + 0.25z + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 -1 + 0.5z = 2 + 0.00 -1 + 0.5z = 2 Add '1' to each side of the equation. -1 + 1 + 0.5z = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5z = 2 + 1 0.5z = 2 + 1 Combine like terms: 2 + 1 = 3 0.5z = 3 Divide each side by '0.5'. z = 6 Simplifying z = 6
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