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Simplifying 4z + 3 + -2z = 6z + -7 Reorder the terms: 3 + 4z + -2z = 6z + -7 Combine like terms: 4z + -2z = 2z 3 + 2z = 6z + -7 Reorder the terms: 3 + 2z = -7 + 6z Solving 3 + 2z = -7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 3 + 2z + -6z = -7 + 6z + -6z Combine like terms: 2z + -6z = -4z 3 + -4z = -7 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -4z = -7 + 0 3 + -4z = -7 Add '-3' to each side of the equation. 3 + -3 + -4z = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -4z = -7 + -3 -4z = -7 + -3 Combine like terms: -7 + -3 = -10 -4z = -10 Divide each side by '-4'. z = 2.5 Simplifying z = 2.5
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