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Simplifying -40 = -4(6 + 2z) -40 = (6 * -4 + 2z * -4) -40 = (-24 + -8z) Solving -40 = -24 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -40 + 8z = -24 + -8z + 8z Combine like terms: -8z + 8z = 0 -40 + 8z = -24 + 0 -40 + 8z = -24 Add '40' to each side of the equation. -40 + 40 + 8z = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 8z = -24 + 40 8z = -24 + 40 Combine like terms: -24 + 40 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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