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