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Simplifying 2(3z + -2) + -2(4 + -4z) = 4 Reorder the terms: 2(-2 + 3z) + -2(4 + -4z) = 4 (-2 * 2 + 3z * 2) + -2(4 + -4z) = 4 (-4 + 6z) + -2(4 + -4z) = 4 -4 + 6z + (4 * -2 + -4z * -2) = 4 -4 + 6z + (-8 + 8z) = 4 Reorder the terms: -4 + -8 + 6z + 8z = 4 Combine like terms: -4 + -8 = -12 -12 + 6z + 8z = 4 Combine like terms: 6z + 8z = 14z -12 + 14z = 4 Solving -12 + 14z = 4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14z = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 14z = 4 + 12 14z = 4 + 12 Combine like terms: 4 + 12 = 16 14z = 16 Divide each side by '14'. z = 1.142857143 Simplifying z = 1.142857143
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