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Simplifying 15 + -0.75z = 13 + -0.50z Solving 15 + -0.75z = 13 + -0.50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.50z' to each side of the equation. 15 + -0.75z + 0.50z = 13 + -0.50z + 0.50z Combine like terms: -0.75z + 0.50z = -0.25z 15 + -0.25z = 13 + -0.50z + 0.50z Combine like terms: -0.50z + 0.50z = 0.00 15 + -0.25z = 13 + 0.00 15 + -0.25z = 13 Add '-15' to each side of the equation. 15 + -15 + -0.25z = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -0.25z = 13 + -15 -0.25z = 13 + -15 Combine like terms: 13 + -15 = -2 -0.25z = -2 Divide each side by '-0.25'. z = 8 Simplifying z = 8
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