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Simplifying 3z + 15 = 4z + 40 Reorder the terms: 15 + 3z = 4z + 40 Reorder the terms: 15 + 3z = 40 + 4z Solving 15 + 3z = 40 + 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 + 3z + -4z = 40 + 4z + -4z Combine like terms: 3z + -4z = -1z 15 + -1z = 40 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + -1z = 40 + 0 15 + -1z = 40 Add '-15' to each side of the equation. 15 + -15 + -1z = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 40 + -15 -1z = 40 + -15 Combine like terms: 40 + -15 = 25 -1z = 25 Divide each side by '-1'. z = -25 Simplifying z = -25
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