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Simplifying 8z + -3(z + -5) = 4(z + -25) Reorder the terms: 8z + -3(-5 + z) = 4(z + -25) 8z + (-5 * -3 + z * -3) = 4(z + -25) 8z + (15 + -3z) = 4(z + -25) Reorder the terms: 15 + 8z + -3z = 4(z + -25) Combine like terms: 8z + -3z = 5z 15 + 5z = 4(z + -25) Reorder the terms: 15 + 5z = 4(-25 + z) 15 + 5z = (-25 * 4 + z * 4) 15 + 5z = (-100 + 4z) Solving 15 + 5z = -100 + 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 + 5z + -4z = -100 + 4z + -4z Combine like terms: 5z + -4z = 1z 15 + 1z = -100 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + 1z = -100 + 0 15 + 1z = -100 Add '-15' to each side of the equation. 15 + -15 + 1z = -100 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = -100 + -15 1z = -100 + -15 Combine like terms: -100 + -15 = -115 1z = -115 Divide each side by '1'. z = -115 Simplifying z = -115
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