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Simplifying 3z + 7 = 5z + -3 Reorder the terms: 7 + 3z = 5z + -3 Reorder the terms: 7 + 3z = -3 + 5z Solving 7 + 3z = -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. 7 + 3z + -5z = -3 + 5z + -5z Combine like terms: 3z + -5z = -2z 7 + -2z = -3 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + -2z = -3 + 0 7 + -2z = -3 Add '-7' to each side of the equation. 7 + -7 + -2z = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -3 + -7 -2z = -3 + -7 Combine like terms: -3 + -7 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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