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Simplifying (4z + 2) = (5z + -3) Reorder the terms: (2 + 4z) = (5z + -3) Remove parenthesis around (2 + 4z) 2 + 4z = (5z + -3) Reorder the terms: 2 + 4z = (-3 + 5z) Remove parenthesis around (-3 + 5z) 2 + 4z = -3 + 5z Solving 2 + 4z = -3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 4z + -5z = -3 + 5z + -5z Combine like terms: 4z + -5z = -1z 2 + -1z = -3 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -1z = -3 + 0 2 + -1z = -3 Add '-2' to each side of the equation. 2 + -2 + -1z = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = -3 + -2 -1z = -3 + -2 Combine like terms: -3 + -2 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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