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Simplifying 4z + 7 + -2z = 8z + -3 Reorder the terms: 7 + 4z + -2z = 8z + -3 Combine like terms: 4z + -2z = 2z 7 + 2z = 8z + -3 Reorder the terms: 7 + 2z = -3 + 8z Solving 7 + 2z = -3 + 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 + 2z + -8z = -3 + 8z + -8z Combine like terms: 2z + -8z = -6z 7 + -6z = -3 + 8z + -8z Combine like terms: 8z + -8z = 0 7 + -6z = -3 + 0 7 + -6z = -3 Add '-7' to each side of the equation. 7 + -7 + -6z = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = -3 + -7 -6z = -3 + -7 Combine like terms: -3 + -7 = -10 -6z = -10 Divide each side by '-6'. z = 1.666666667 Simplifying z = 1.666666667
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