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Simplifying 2(3z + -2) + -2(5 + -2z) = -4 Reorder the terms: 2(-2 + 3z) + -2(5 + -2z) = -4 (-2 * 2 + 3z * 2) + -2(5 + -2z) = -4 (-4 + 6z) + -2(5 + -2z) = -4 -4 + 6z + (5 * -2 + -2z * -2) = -4 -4 + 6z + (-10 + 4z) = -4 Reorder the terms: -4 + -10 + 6z + 4z = -4 Combine like terms: -4 + -10 = -14 -14 + 6z + 4z = -4 Combine like terms: 6z + 4z = 10z -14 + 10z = -4 Solving -14 + 10z = -4 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 + 10z = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 10z = -4 + 14 10z = -4 + 14 Combine like terms: -4 + 14 = 10 10z = 10 Divide each side by '10'. z = 1 Simplifying z = 1
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