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Simplifying 5(z + -6) + -2 = 9z Reorder the terms: 5(-6 + z) + -2 = 9z (-6 * 5 + z * 5) + -2 = 9z (-30 + 5z) + -2 = 9z Reorder the terms: -30 + -2 + 5z = 9z Combine like terms: -30 + -2 = -32 -32 + 5z = 9z Solving -32 + 5z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -32 + 5z + -9z = 9z + -9z Combine like terms: 5z + -9z = -4z -32 + -4z = 9z + -9z Combine like terms: 9z + -9z = 0 -32 + -4z = 0 Add '32' to each side of the equation. -32 + 32 + -4z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4z = 0 + 32 -4z = 0 + 32 Combine like terms: 0 + 32 = 32 -4z = 32 Divide each side by '-4'. z = -8 Simplifying z = -8
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