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Simplifying 2 + -6(z + 1) = 0 Reorder the terms: 2 + -6(1 + z) = 0 2 + (1 * -6 + z * -6) = 0 2 + (-6 + -6z) = 0 Combine like terms: 2 + -6 = -4 -4 + -6z = 0 Solving -4 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6z = 0 + 4 -6z = 0 + 4 Combine like terms: 0 + 4 = 4 -6z = 4 Divide each side by '-6'. z = -0.6666666667 Simplifying z = -0.6666666667
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