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Simplifying 7 = -4z + 15 Reorder the terms: 7 = 15 + -4z Solving 7 = 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. 7 + 4z = 15 + -4z + 4z Combine like terms: -4z + 4z = 0 7 + 4z = 15 + 0 7 + 4z = 15 Add '-7' to each side of the equation. 7 + -7 + 4z = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4z = 15 + -7 4z = 15 + -7 Combine like terms: 15 + -7 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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