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Simplifying 2(3z) + 2(z + 1) = 0 Remove parenthesis around (3z) 2 * 3z + 2(z + 1) = 0 Multiply 2 * 3 6z + 2(z + 1) = 0 Reorder the terms: 6z + 2(1 + z) = 0 6z + (1 * 2 + z * 2) = 0 6z + (2 + 2z) = 0 Reorder the terms: 2 + 6z + 2z = 0 Combine like terms: 6z + 2z = 8z 2 + 8z = 0 Solving 2 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8z = 0 + -2 8z = 0 + -2 Combine like terms: 0 + -2 = -2 8z = -2 Divide each side by '8'. z = -0.25 Simplifying z = -0.25
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