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Simplifying 6(z + -5) = 5z Reorder the terms: 6(-5 + z) = 5z (-5 * 6 + z * 6) = 5z (-30 + 6z) = 5z Solving -30 + 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. -30 + 6z + -5z = 5z + -5z Combine like terms: 6z + -5z = 1z -30 + 1z = 5z + -5z Combine like terms: 5z + -5z = 0 -30 + 1z = 0 Add '30' to each side of the equation. -30 + 30 + 1z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1z = 0 + 30 1z = 0 + 30 Combine like terms: 0 + 30 = 30 1z = 30 Divide each side by '1'. z = 30 Simplifying z = 30
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