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Simplifying -2(2 + -4) + -1(3z + -2) = -2(6z + -2) Combine like terms: 2 + -4 = -2 -2(-2) + -1(3z + -2) = -2(6z + -2) Multiply -2 * -2 4 + -1(3z + -2) = -2(6z + -2) Reorder the terms: 4 + -1(-2 + 3z) = -2(6z + -2) 4 + (-2 * -1 + 3z * -1) = -2(6z + -2) 4 + (2 + -3z) = -2(6z + -2) Combine like terms: 4 + 2 = 6 6 + -3z = -2(6z + -2) Reorder the terms: 6 + -3z = -2(-2 + 6z) 6 + -3z = (-2 * -2 + 6z * -2) 6 + -3z = (4 + -12z) Solving 6 + -3z = 4 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 6 + -3z + 12z = 4 + -12z + 12z Combine like terms: -3z + 12z = 9z 6 + 9z = 4 + -12z + 12z Combine like terms: -12z + 12z = 0 6 + 9z = 4 + 0 6 + 9z = 4 Add '-6' to each side of the equation. 6 + -6 + 9z = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 9z = 4 + -6 9z = 4 + -6 Combine like terms: 4 + -6 = -2 9z = -2 Divide each side by '9'. z = -0.2222222222 Simplifying z = -0.2222222222
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