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Simplifying 0.25z + -24 = (16 + -0.75z) + -15 Reorder the terms: -24 + 0.25z = (16 + -0.75z) + -15 Remove parenthesis around (16 + -0.75z) -24 + 0.25z = 16 + -0.75z + -15 Reorder the terms: -24 + 0.25z = 16 + -15 + -0.75z Combine like terms: 16 + -15 = 1 -24 + 0.25z = 1 + -0.75z Solving -24 + 0.25z = 1 + -0.75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.75z' to each side of the equation. -24 + 0.25z + 0.75z = 1 + -0.75z + 0.75z Combine like terms: 0.25z + 0.75z = 1z -24 + 1z = 1 + -0.75z + 0.75z Combine like terms: -0.75z + 0.75z = 0.00 -24 + 1z = 1 + 0.00 -24 + 1z = 1 Add '24' to each side of the equation. -24 + 24 + 1z = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 1z = 1 + 24 1z = 1 + 24 Combine like terms: 1 + 24 = 25 1z = 25 Divide each side by '1'. z = 25 Simplifying z = 25
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