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Simplifying 2z + -5(z + 2) = 8 + -2 Reorder the terms: 2z + -5(2 + z) = 8 + -2 2z + (2 * -5 + z * -5) = 8 + -2 2z + (-10 + -5z) = 8 + -2 Reorder the terms: -10 + 2z + -5z = 8 + -2 Combine like terms: 2z + -5z = -3z -10 + -3z = 8 + -2 Combine like terms: 8 + -2 = 6 -10 + -3z = 6 Solving -10 + -3z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3z = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -3z = 6 + 10 -3z = 6 + 10 Combine like terms: 6 + 10 = 16 -3z = 16 Divide each side by '-3'. z = -5.333333333 Simplifying z = -5.333333333
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