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Simplifying 2(2z + -3) + -2(3 + -5z) = 6 Reorder the terms: 2(-3 + 2z) + -2(3 + -5z) = 6 (-3 * 2 + 2z * 2) + -2(3 + -5z) = 6 (-6 + 4z) + -2(3 + -5z) = 6 -6 + 4z + (3 * -2 + -5z * -2) = 6 -6 + 4z + (-6 + 10z) = 6 Reorder the terms: -6 + -6 + 4z + 10z = 6 Combine like terms: -6 + -6 = -12 -12 + 4z + 10z = 6 Combine like terms: 4z + 10z = 14z -12 + 14z = 6 Solving -12 + 14z = 6 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 = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 14z = 6 + 12 14z = 6 + 12 Combine like terms: 6 + 12 = 18 14z = 18 Divide each side by '14'. z = 1.285714286 Simplifying z = 1.285714286
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