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Simplifying 4z + 37 = 8z + 47 Reorder the terms: 37 + 4z = 8z + 47 Reorder the terms: 37 + 4z = 47 + 8z Solving 37 + 4z = 47 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 37 + 4z + -8z = 47 + 8z + -8z Combine like terms: 4z + -8z = -4z 37 + -4z = 47 + 8z + -8z Combine like terms: 8z + -8z = 0 37 + -4z = 47 + 0 37 + -4z = 47 Add '-37' to each side of the equation. 37 + -37 + -4z = 47 + -37 Combine like terms: 37 + -37 = 0 0 + -4z = 47 + -37 -4z = 47 + -37 Combine like terms: 47 + -37 = 10 -4z = 10 Divide each side by '-4'. z = -2.5 Simplifying z = -2.5
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