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Simplifying 4(z + -1) + 2(3z + 3) = 0 Reorder the terms: 4(-1 + z) + 2(3z + 3) = 0 (-1 * 4 + z * 4) + 2(3z + 3) = 0 (-4 + 4z) + 2(3z + 3) = 0 Reorder the terms: -4 + 4z + 2(3 + 3z) = 0 -4 + 4z + (3 * 2 + 3z * 2) = 0 -4 + 4z + (6 + 6z) = 0 Reorder the terms: -4 + 6 + 4z + 6z = 0 Combine like terms: -4 + 6 = 2 2 + 4z + 6z = 0 Combine like terms: 4z + 6z = 10z 2 + 10z = 0 Solving 2 + 10z = 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 + 10z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10z = 0 + -2 10z = 0 + -2 Combine like terms: 0 + -2 = -2 10z = -2 Divide each side by '10'. z = -0.2 Simplifying z = -0.2
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