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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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