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Simplifying 7 = 2 + 5(z + -5) Reorder the terms: 7 = 2 + 5(-5 + z) 7 = 2 + (-5 * 5 + z * 5) 7 = 2 + (-25 + 5z) Combine like terms: 2 + -25 = -23 7 = -23 + 5z Solving 7 = -23 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + -5z = -23 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + -5z = -23 + 0 7 + -5z = -23 Add '-7' to each side of the equation. 7 + -7 + -5z = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -23 + -7 -5z = -23 + -7 Combine like terms: -23 + -7 = -30 -5z = -30 Divide each side by '-5'. z = 6 Simplifying z = 6
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