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Simplifying 5(z + 2) + -1(2 + 2z) = 2z Reorder the terms: 5(2 + z) + -1(2 + 2z) = 2z (2 * 5 + z * 5) + -1(2 + 2z) = 2z (10 + 5z) + -1(2 + 2z) = 2z 10 + 5z + (2 * -1 + 2z * -1) = 2z 10 + 5z + (-2 + -2z) = 2z Reorder the terms: 10 + -2 + 5z + -2z = 2z Combine like terms: 10 + -2 = 8 8 + 5z + -2z = 2z Combine like terms: 5z + -2z = 3z 8 + 3z = 2z Solving 8 + 3z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z 8 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 8 + 1z = 0 Add '-8' to each side of the equation. 8 + -8 + 1z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 0 + -8 1z = 0 + -8 Combine like terms: 0 + -8 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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