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Simplifying 2(4z + -2) + -2(5 + -3z) = 2 Reorder the terms: 2(-2 + 4z) + -2(5 + -3z) = 2 (-2 * 2 + 4z * 2) + -2(5 + -3z) = 2 (-4 + 8z) + -2(5 + -3z) = 2 -4 + 8z + (5 * -2 + -3z * -2) = 2 -4 + 8z + (-10 + 6z) = 2 Reorder the terms: -4 + -10 + 8z + 6z = 2 Combine like terms: -4 + -10 = -14 -14 + 8z + 6z = 2 Combine like terms: 8z + 6z = 14z -14 + 14z = 2 Solving -14 + 14z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14z = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 14z = 2 + 14 14z = 2 + 14 Combine like terms: 2 + 14 = 16 14z = 16 Divide each side by '14'. z = 1.142857143 Simplifying z = 1.142857143
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