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