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Simplifying 8(z + -2) = 3z + 9 Reorder the terms: 8(-2 + z) = 3z + 9 (-2 * 8 + z * 8) = 3z + 9 (-16 + 8z) = 3z + 9 Reorder the terms: -16 + 8z = 9 + 3z Solving -16 + 8z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -16 + 8z + -3z = 9 + 3z + -3z Combine like terms: 8z + -3z = 5z -16 + 5z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + 5z = 9 + 0 -16 + 5z = 9 Add '16' to each side of the equation. -16 + 16 + 5z = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 5z = 9 + 16 5z = 9 + 16 Combine like terms: 9 + 16 = 25 5z = 25 Divide each side by '5'. z = 5 Simplifying z = 5
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