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Simplifying 8z + 15 + -2z = 4(z + -5) Reorder the terms: 15 + 8z + -2z = 4(z + -5) Combine like terms: 8z + -2z = 6z 15 + 6z = 4(z + -5) Reorder the terms: 15 + 6z = 4(-5 + z) 15 + 6z = (-5 * 4 + z * 4) 15 + 6z = (-20 + 4z) Solving 15 + 6z = -20 + 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. 15 + 6z + -4z = -20 + 4z + -4z Combine like terms: 6z + -4z = 2z 15 + 2z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + 2z = -20 + 0 15 + 2z = -20 Add '-15' to each side of the equation. 15 + -15 + 2z = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = -20 + -15 2z = -20 + -15 Combine like terms: -20 + -15 = -35 2z = -35 Divide each side by '2'. z = -17.5 Simplifying z = -17.5
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