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Simplifying 2(z + -1) = 4(z + 3) + -4 Reorder the terms: 2(-1 + z) = 4(z + 3) + -4 (-1 * 2 + z * 2) = 4(z + 3) + -4 (-2 + 2z) = 4(z + 3) + -4 Reorder the terms: -2 + 2z = 4(3 + z) + -4 -2 + 2z = (3 * 4 + z * 4) + -4 -2 + 2z = (12 + 4z) + -4 Reorder the terms: -2 + 2z = 12 + -4 + 4z Combine like terms: 12 + -4 = 8 -2 + 2z = 8 + 4z Solving -2 + 2z = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -2 + 2z + -4z = 8 + 4z + -4z Combine like terms: 2z + -4z = -2z -2 + -2z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -2 + -2z = 8 + 0 -2 + -2z = 8 Add '2' to each side of the equation. -2 + 2 + -2z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2z = 8 + 2 -2z = 8 + 2 Combine like terms: 8 + 2 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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