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Simplifying 3z + 7 = 8z + -40 Reorder the terms: 7 + 3z = 8z + -40 Reorder the terms: 7 + 3z = -40 + 8z Solving 7 + 3z = -40 + 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. 7 + 3z + -8z = -40 + 8z + -8z Combine like terms: 3z + -8z = -5z 7 + -5z = -40 + 8z + -8z Combine like terms: 8z + -8z = 0 7 + -5z = -40 + 0 7 + -5z = -40 Add '-7' to each side of the equation. 7 + -7 + -5z = -40 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -40 + -7 -5z = -40 + -7 Combine like terms: -40 + -7 = -47 -5z = -47 Divide each side by '-5'. z = 9.4 Simplifying z = 9.4
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