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Simplifying 3(z + 3) = z + 3z + 6 + -1Z Reorder the terms: 3(3 + z) = z + 3z + 6 + -1Z (3 * 3 + z * 3) = z + 3z + 6 + -1Z (9 + 3z) = z + 3z + 6 + -1Z Reorder the terms: 9 + 3z = 6 + -1Z + z + 3z Combine like terms: z + 3z = 4z 9 + 3z = 6 + -1Z + 4z Solving 9 + 3z = 6 + -1Z + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9 + 3z + -4z = 6 + -1Z + 4z + -4z Combine like terms: 3z + -4z = -1z 9 + -1z = 6 + -1Z + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -1z = 6 + -1Z + 0 9 + -1z = 6 + -1Z Add '-9' to each side of the equation. 9 + -9 + -1z = 6 + -9 + -1Z Combine like terms: 9 + -9 = 0 0 + -1z = 6 + -9 + -1Z -1z = 6 + -9 + -1Z Combine like terms: 6 + -9 = -3 -1z = -3 + -1Z Divide each side by '-1'. z = 3 + Z Simplifying z = 3 + Z
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