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Simplifying 5(z + -4) = 3(z + 2) Reorder the terms: 5(-4 + z) = 3(z + 2) (-4 * 5 + z * 5) = 3(z + 2) (-20 + 5z) = 3(z + 2) Reorder the terms: -20 + 5z = 3(2 + z) -20 + 5z = (2 * 3 + z * 3) -20 + 5z = (6 + 3z) Solving -20 + 5z = 6 + 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. -20 + 5z + -3z = 6 + 3z + -3z Combine like terms: 5z + -3z = 2z -20 + 2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -20 + 2z = 6 + 0 -20 + 2z = 6 Add '20' to each side of the equation. -20 + 20 + 2z = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 2z = 6 + 20 2z = 6 + 20 Combine like terms: 6 + 20 = 26 2z = 26 Divide each side by '2'. z = 13 Simplifying z = 13
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