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Simplifying -9(z + 6) = -10z Reorder the terms: -9(6 + z) = -10z (6 * -9 + z * -9) = -10z (-54 + -9z) = -10z Solving -54 + -9z = -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -54 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z -54 + 1z = -10z + 10z Combine like terms: -10z + 10z = 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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