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Simplifying 5 + 2z + -2 = 8z + 15 + -4z Reorder the terms: 5 + -2 + 2z = 8z + 15 + -4z Combine like terms: 5 + -2 = 3 3 + 2z = 8z + 15 + -4z Reorder the terms: 3 + 2z = 15 + 8z + -4z Combine like terms: 8z + -4z = 4z 3 + 2z = 15 + 4z Solving 3 + 2z = 15 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + 2z + -4z = 15 + 4z + -4z Combine like terms: 2z + -4z = -2z 3 + -2z = 15 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + -2z = 15 + 0 3 + -2z = 15 Add '-3' to each side of the equation. 3 + -3 + -2z = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 15 + -3 -2z = 15 + -3 Combine like terms: 15 + -3 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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