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Simplifying (3z + -2) + 6 = 5(z + 4) Reorder the terms: (-2 + 3z) + 6 = 5(z + 4) Remove parenthesis around (-2 + 3z) -2 + 3z + 6 = 5(z + 4) Reorder the terms: -2 + 6 + 3z = 5(z + 4) Combine like terms: -2 + 6 = 4 4 + 3z = 5(z + 4) Reorder the terms: 4 + 3z = 5(4 + z) 4 + 3z = (4 * 5 + z * 5) 4 + 3z = (20 + 5z) Solving 4 + 3z = 20 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 3z + -5z = 20 + 5z + -5z Combine like terms: 3z + -5z = -2z 4 + -2z = 20 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -2z = 20 + 0 4 + -2z = 20 Add '-4' to each side of the equation. 4 + -4 + -2z = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 20 + -4 -2z = 20 + -4 Combine like terms: 20 + -4 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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