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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 = 20 20 + -2z = 8 + -3z Solving 20 + -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. 20 + -2z + 3z = 8 + -3z + 3z Combine like terms: -2z + 3z = 1z 20 + 1z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 20 + 1z = 8 + 0 20 + 1z = 8 Add '-20' to each side of the equation. 20 + -20 + 1z = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 1z = 8 + -20 1z = 8 + -20 Combine like terms: 8 + -20 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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