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Simplifying 4 + 2(z + -2) = 7z + 8 Reorder the terms: 4 + 2(-2 + z) = 7z + 8 4 + (-2 * 2 + z * 2) = 7z + 8 4 + (-4 + 2z) = 7z + 8 Combine like terms: 4 + -4 = 0 0 + 2z = 7z + 8 2z = 7z + 8 Reorder the terms: 2z = 8 + 7z Solving 2z = 8 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 2z + -7z = 8 + 7z + -7z Combine like terms: 2z + -7z = -5z -5z = 8 + 7z + -7z Combine like terms: 7z + -7z = 0 -5z = 8 + 0 -5z = 8 Divide each side by '-5'. z = -1.6 Simplifying z = -1.6
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