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Simplifying 2(2z + -1) + -2(3 + -2z) = 6 Reorder the terms: 2(-1 + 2z) + -2(3 + -2z) = 6 (-1 * 2 + 2z * 2) + -2(3 + -2z) = 6 (-2 + 4z) + -2(3 + -2z) = 6 -2 + 4z + (3 * -2 + -2z * -2) = 6 -2 + 4z + (-6 + 4z) = 6 Reorder the terms: -2 + -6 + 4z + 4z = 6 Combine like terms: -2 + -6 = -8 -8 + 4z + 4z = 6 Combine like terms: 4z + 4z = 8z -8 + 8z = 6 Solving -8 + 8z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8z = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 8z = 6 + 8 8z = 6 + 8 Combine like terms: 6 + 8 = 14 8z = 14 Divide each side by '8'. z = 1.75 Simplifying z = 1.75
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