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Simplifying 80 = 4(z + -78) Reorder the terms: 80 = 4(-78 + z) 80 = (-78 * 4 + z * 4) 80 = (-312 + 4z) Solving 80 = -312 + 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. 80 + -4z = -312 + 4z + -4z Combine like terms: 4z + -4z = 0 80 + -4z = -312 + 0 80 + -4z = -312 Add '-80' to each side of the equation. 80 + -80 + -4z = -312 + -80 Combine like terms: 80 + -80 = 0 0 + -4z = -312 + -80 -4z = -312 + -80 Combine like terms: -312 + -80 = -392 -4z = -392 Divide each side by '-4'. z = 98 Simplifying z = 98
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