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Simplifying 4z + 7 = -2z + 6 Reorder the terms: 7 + 4z = -2z + 6 Reorder the terms: 7 + 4z = 6 + -2z Solving 7 + 4z = 6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 7 + 4z + 2z = 6 + -2z + 2z Combine like terms: 4z + 2z = 6z 7 + 6z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 7 + 6z = 6 + 0 7 + 6z = 6 Add '-7' to each side of the equation. 7 + -7 + 6z = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 6z = 6 + -7 6z = 6 + -7 Combine like terms: 6 + -7 = -1 6z = -1 Divide each side by '6'. z = -0.1666666667 Simplifying z = -0.1666666667
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