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Simplifying 2(2z + 2) = 5z + -7 Reorder the terms: 2(2 + 2z) = 5z + -7 (2 * 2 + 2z * 2) = 5z + -7 (4 + 4z) = 5z + -7 Reorder the terms: 4 + 4z = -7 + 5z Solving 4 + 4z = -7 + 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. 4 + 4z + -5z = -7 + 5z + -5z Combine like terms: 4z + -5z = -1z 4 + -1z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -1z = -7 + 0 4 + -1z = -7 Add '-4' to each side of the equation. 4 + -4 + -1z = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = -7 + -4 -1z = -7 + -4 Combine like terms: -7 + -4 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11
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