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Simplifying -5z + -2 = 3z + 2 Reorder the terms: -2 + -5z = 3z + 2 Reorder the terms: -2 + -5z = 2 + 3z Solving -2 + -5z = 2 + 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 = 2 + 3z + -3z Combine like terms: -5z + -3z = -8z -2 + -8z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + -8z = 2 + 0 -2 + -8z = 2 Add '2' to each side of the equation. -2 + 2 + -8z = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -8z = 2 + 2 -8z = 2 + 2 Combine like terms: 2 + 2 = 4 -8z = 4 Divide each side by '-8'. z = -0.5 Simplifying z = -0.5
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