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Simplifying 4(z + -2) = 9z + 2 Reorder the terms: 4(-2 + z) = 9z + 2 (-2 * 4 + z * 4) = 9z + 2 (-8 + 4z) = 9z + 2 Reorder the terms: -8 + 4z = 2 + 9z Solving -8 + 4z = 2 + 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. -8 + 4z + -9z = 2 + 9z + -9z Combine like terms: 4z + -9z = -5z -8 + -5z = 2 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + -5z = 2 + 0 -8 + -5z = 2 Add '8' to each side of the equation. -8 + 8 + -5z = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -5z = 2 + 8 -5z = 2 + 8 Combine like terms: 2 + 8 = 10 -5z = 10 Divide each side by '-5'. z = -2 Simplifying z = -2
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