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Simplifying 5 + 25(z + 2) = 4.5z + -4 Reorder the terms: 5 + 25(2 + z) = 4.5z + -4 5 + (2 * 25 + z * 25) = 4.5z + -4 5 + (50 + 25z) = 4.5z + -4 Combine like terms: 5 + 50 = 55 55 + 25z = 4.5z + -4 Reorder the terms: 55 + 25z = -4 + 4.5z Solving 55 + 25z = -4 + 4.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4.5z' to each side of the equation. 55 + 25z + -4.5z = -4 + 4.5z + -4.5z Combine like terms: 25z + -4.5z = 20.5z 55 + 20.5z = -4 + 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 55 + 20.5z = -4 + 0.0 55 + 20.5z = -4 Add '-55' to each side of the equation. 55 + -55 + 20.5z = -4 + -55 Combine like terms: 55 + -55 = 0 0 + 20.5z = -4 + -55 20.5z = -4 + -55 Combine like terms: -4 + -55 = -59 20.5z = -59 Divide each side by '20.5'. z = -2.87804878 Simplifying z = -2.87804878
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