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Simplifying 2(2z + -3) + -2(2 + -2z) = 4 Reorder the terms: 2(-3 + 2z) + -2(2 + -2z) = 4 (-3 * 2 + 2z * 2) + -2(2 + -2z) = 4 (-6 + 4z) + -2(2 + -2z) = 4 -6 + 4z + (2 * -2 + -2z * -2) = 4 -6 + 4z + (-4 + 4z) = 4 Reorder the terms: -6 + -4 + 4z + 4z = 4 Combine like terms: -6 + -4 = -10 -10 + 4z + 4z = 4 Combine like terms: 4z + 4z = 8z -10 + 8z = 4 Solving -10 + 8z = 4 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 + 8z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 8z = 4 + 10 8z = 4 + 10 Combine like terms: 4 + 10 = 14 8z = 14 Divide each side by '8'. z = 1.75 Simplifying z = 1.75
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