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Simplifying 2(3z + -1) + -2(4 + -2Z) = 8 Reorder the terms: 2(-1 + 3z) + -2(4 + -2Z) = 8 (-1 * 2 + 3z * 2) + -2(4 + -2Z) = 8 (-2 + 6z) + -2(4 + -2Z) = 8 -2 + 6z + (4 * -2 + -2Z * -2) = 8 -2 + 6z + (-8 + 4Z) = 8 Reorder the terms: -2 + -8 + 4Z + 6z = 8 Combine like terms: -2 + -8 = -10 -10 + 4Z + 6z = 8 Solving -10 + 4Z + 6z = 8 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 + 4Z + 10 + 6z = 8 + 10 Reorder the terms: -10 + 10 + 4Z + 6z = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 4Z + 6z = 8 + 10 4Z + 6z = 8 + 10 Combine like terms: 8 + 10 = 18 4Z + 6z = 18 Add '-6z' to each side of the equation. 4Z + 6z + -6z = 18 + -6z Combine like terms: 6z + -6z = 0 4Z + 0 = 18 + -6z 4Z = 18 + -6z Divide each side by '4'. Z = 4.5 + -1.5z Simplifying Z = 4.5 + -1.5z
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