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Simplifying -2(z + 4) = -42 Reorder the terms: -2(4 + z) = -42 (4 * -2 + z * -2) = -42 (-8 + -2z) = -42 Solving -8 + -2z = -42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2z = -42 + 8 Combine like terms: -8 + 8 = 0 0 + -2z = -42 + 8 -2z = -42 + 8 Combine like terms: -42 + 8 = -34 -2z = -34 Divide each side by '-2'. z = 17 Simplifying z = 17
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