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Simplifying 2(2z + -4) = 3(z + 3) Reorder the terms: 2(-4 + 2z) = 3(z + 3) (-4 * 2 + 2z * 2) = 3(z + 3) (-8 + 4z) = 3(z + 3) Reorder the terms: -8 + 4z = 3(3 + z) -8 + 4z = (3 * 3 + z * 3) -8 + 4z = (9 + 3z) Solving -8 + 4z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -8 + 4z + -3z = 9 + 3z + -3z Combine like terms: 4z + -3z = 1z -8 + 1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + 1z = 9 + 0 -8 + 1z = 9 Add '8' to each side of the equation. -8 + 8 + 1z = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 9 + 8 1z = 9 + 8 Combine like terms: 9 + 8 = 17 1z = 17 Divide each side by '1'. z = 17 Simplifying z = 17
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