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