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Simplifying 2z + -1(3 + -1z) = -3(-4x + -4) 2z + (3 * -1 + -1z * -1) = -3(-4x + -4) 2z + (-3 + 1z) = -3(-4x + -4) Reorder the terms: -3 + 2z + 1z = -3(-4x + -4) Combine like terms: 2z + 1z = 3z -3 + 3z = -3(-4x + -4) Reorder the terms: -3 + 3z = -3(-4 + -4x) -3 + 3z = (-4 * -3 + -4x * -3) -3 + 3z = (12 + 12x) Solving -3 + 3z = 12 + 12x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3z = 12 + 3 + 12x Combine like terms: -3 + 3 = 0 0 + 3z = 12 + 3 + 12x 3z = 12 + 3 + 12x Combine like terms: 12 + 3 = 15 3z = 15 + 12x Divide each side by '3'. z = 5 + 4x Simplifying z = 5 + 4x
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