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Simplifying 3(2z + -2) = (z + 4) Reorder the terms: 3(-2 + 2z) = (z + 4) (-2 * 3 + 2z * 3) = (z + 4) (-6 + 6z) = (z + 4) Reorder the terms: -6 + 6z = (4 + z) Remove parenthesis around (4 + z) -6 + 6z = 4 + z Solving -6 + 6z = 4 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -6 + 6z + -1z = 4 + z + -1z Combine like terms: 6z + -1z = 5z -6 + 5z = 4 + z + -1z Combine like terms: z + -1z = 0 -6 + 5z = 4 + 0 -6 + 5z = 4 Add '6' to each side of the equation. -6 + 6 + 5z = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 4 + 6 5z = 4 + 6 Combine like terms: 4 + 6 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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