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Simplifying 3(2Z + -1) + -3(4 + -2Z) = 6 Reorder the terms: 3(-1 + 2Z) + -3(4 + -2Z) = 6 (-1 * 3 + 2Z * 3) + -3(4 + -2Z) = 6 (-3 + 6Z) + -3(4 + -2Z) = 6 -3 + 6Z + (4 * -3 + -2Z * -3) = 6 -3 + 6Z + (-12 + 6Z) = 6 Reorder the terms: -3 + -12 + 6Z + 6Z = 6 Combine like terms: -3 + -12 = -15 -15 + 6Z + 6Z = 6 Combine like terms: 6Z + 6Z = 12Z -15 + 12Z = 6 Solving -15 + 12Z = 6 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12Z = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 12Z = 6 + 15 12Z = 6 + 15 Combine like terms: 6 + 15 = 21 12Z = 21 Divide each side by '12'. Z = 1.75 Simplifying Z = 1.75
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