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Simplifying 25z + -24 = (16 + -75z) + -15 Reorder the terms: -24 + 25z = (16 + -75z) + -15 Remove parenthesis around (16 + -75z) -24 + 25z = 16 + -75z + -15 Reorder the terms: -24 + 25z = 16 + -15 + -75z Combine like terms: 16 + -15 = 1 -24 + 25z = 1 + -75z Solving -24 + 25z = 1 + -75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '75z' to each side of the equation. -24 + 25z + 75z = 1 + -75z + 75z Combine like terms: 25z + 75z = 100z -24 + 100z = 1 + -75z + 75z Combine like terms: -75z + 75z = 0 -24 + 100z = 1 + 0 -24 + 100z = 1 Add '24' to each side of the equation. -24 + 24 + 100z = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 100z = 1 + 24 100z = 1 + 24 Combine like terms: 1 + 24 = 25 100z = 25 Divide each side by '100'. z = 0.25 Simplifying z = 0.25
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