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Simplifying 2 + -4(2 + 2) = -6 + -2z Combine like terms: 2 + 2 = 4 2 + -4(4) = -6 + -2z Multiply -4 * 4 2 + -16 = -6 + -2z Combine like terms: 2 + -16 = -14 -14 = -6 + -2z Solving -14 = -6 + -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. -14 + 2z = -6 + -2z + 2z Combine like terms: -2z + 2z = 0 -14 + 2z = -6 + 0 -14 + 2z = -6 Add '14' to each side of the equation. -14 + 14 + 2z = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 2z = -6 + 14 2z = -6 + 14 Combine like terms: -6 + 14 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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