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