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Simplifying 6 + 1.75z = 24 + z Solving 6 + 1.75z = 24 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6 + 1.75z + -1z = 24 + z + -1z Combine like terms: 1.75z + -1z = 0.75z 6 + 0.75z = 24 + z + -1z Combine like terms: z + -1z = 0 6 + 0.75z = 24 + 0 6 + 0.75z = 24 Add '-6' to each side of the equation. 6 + -6 + 0.75z = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 0.75z = 24 + -6 0.75z = 24 + -6 Combine like terms: 24 + -6 = 18 0.75z = 18 Divide each side by '0.75'. z = 24 Simplifying z = 24
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