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Simplifying 6z + -3(z + -5) = 5(z + 3) Reorder the terms: 6z + -3(-5 + z) = 5(z + 3) 6z + (-5 * -3 + z * -3) = 5(z + 3) 6z + (15 + -3z) = 5(z + 3) Reorder the terms: 15 + 6z + -3z = 5(z + 3) Combine like terms: 6z + -3z = 3z 15 + 3z = 5(z + 3) Reorder the terms: 15 + 3z = 5(3 + z) 15 + 3z = (3 * 5 + z * 5) 15 + 3z = (15 + 5z) Add '-15' to each side of the equation. 15 + -15 + 3z = 15 + -15 + 5z Combine like terms: 15 + -15 = 0 0 + 3z = 15 + -15 + 5z 3z = 15 + -15 + 5z Combine like terms: 15 + -15 = 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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