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Simplifying (z + -2) * 5 + 2 = 7 Reorder the terms: (-2 + z) * 5 + 2 = 7 Reorder the terms for easier multiplication: 5(-2 + z) + 2 = 7 (-2 * 5 + z * 5) + 2 = 7 (-10 + 5z) + 2 = 7 Reorder the terms: -10 + 2 + 5z = 7 Combine like terms: -10 + 2 = -8 -8 + 5z = 7 Solving -8 + 5z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5z = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5z = 7 + 8 5z = 7 + 8 Combine like terms: 7 + 8 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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