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Simplifying 2(z + 2) = 7(z + -2) + -2 Reorder the terms: 2(2 + z) = 7(z + -2) + -2 (2 * 2 + z * 2) = 7(z + -2) + -2 (4 + 2z) = 7(z + -2) + -2 Reorder the terms: 4 + 2z = 7(-2 + z) + -2 4 + 2z = (-2 * 7 + z * 7) + -2 4 + 2z = (-14 + 7z) + -2 Reorder the terms: 4 + 2z = -14 + -2 + 7z Combine like terms: -14 + -2 = -16 4 + 2z = -16 + 7z Solving 4 + 2z = -16 + 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. 4 + 2z + -7z = -16 + 7z + -7z Combine like terms: 2z + -7z = -5z 4 + -5z = -16 + 7z + -7z Combine like terms: 7z + -7z = 0 4 + -5z = -16 + 0 4 + -5z = -16 Add '-4' to each side of the equation. 4 + -4 + -5z = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -5z = -16 + -4 -5z = -16 + -4 Combine like terms: -16 + -4 = -20 -5z = -20 Divide each side by '-5'. z = 4 Simplifying z = 4
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