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Simplifying 5z + -2 = (-8 + 3z) Reorder the terms: -2 + 5z = (-8 + 3z) Remove parenthesis around (-8 + 3z) -2 + 5z = -8 + 3z Solving -2 + 5z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -2 + 5z + -3z = -8 + 3z + -3z Combine like terms: 5z + -3z = 2z -2 + 2z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 2z = -8 + 0 -2 + 2z = -8 Add '2' to each side of the equation. -2 + 2 + 2z = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = -8 + 2 2z = -8 + 2 Combine like terms: -8 + 2 = -6 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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