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Simplifying 2 + -5(z + 2) = -8 + -2z Reorder the terms: 2 + -5(2 + z) = -8 + -2z 2 + (2 * -5 + z * -5) = -8 + -2z 2 + (-10 + -5z) = -8 + -2z Combine like terms: 2 + -10 = -8 -8 + -5z = -8 + -2z Add '8' to each side of the equation. -8 + 8 + -5z = -8 + 8 + -2z Combine like terms: -8 + 8 = 0 0 + -5z = -8 + 8 + -2z -5z = -8 + 8 + -2z Combine like terms: -8 + 8 = 0 -5z = 0 + -2z -5z = -2z Solving -5z = -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. -5z + 2z = -2z + 2z Combine like terms: -5z + 2z = -3z -3z = -2z + 2z Combine like terms: -2z + 2z = 0 -3z = 0 Divide each side by '-3'. z = 0 Simplifying z = 0
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