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Simplifying 6(z + -9) = 5z Reorder the terms: 6(-9 + z) = 5z (-9 * 6 + z * 6) = 5z (-54 + 6z) = 5z Solving -54 + 6z = 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. -54 + 6z + -5z = 5z + -5z Combine like terms: 6z + -5z = 1z -54 + 1z = 5z + -5z Combine like terms: 5z + -5z = 0 -54 + 1z = 0 Add '54' to each side of the equation. -54 + 54 + 1z = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 1z = 0 + 54 1z = 0 + 54 Combine like terms: 0 + 54 = 54 1z = 54 Divide each side by '1'. z = 54 Simplifying z = 54
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