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Simplifying -12 = -2(z + 5) Reorder the terms: -12 = -2(5 + z) -12 = (5 * -2 + z * -2) -12 = (-10 + -2z) Solving -12 = -10 + -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. -12 + 2z = -10 + -2z + 2z Combine like terms: -2z + 2z = 0 -12 + 2z = -10 + 0 -12 + 2z = -10 Add '12' to each side of the equation. -12 + 12 + 2z = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = -10 + 12 2z = -10 + 12 Combine like terms: -10 + 12 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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