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Simplifying (z + -3) + 3(z + 4) = 0 Reorder the terms: (-3 + z) + 3(z + 4) = 0 Remove parenthesis around (-3 + z) -3 + z + 3(z + 4) = 0 Reorder the terms: -3 + z + 3(4 + z) = 0 -3 + z + (4 * 3 + z * 3) = 0 -3 + z + (12 + 3z) = 0 Reorder the terms: -3 + 12 + z + 3z = 0 Combine like terms: -3 + 12 = 9 9 + z + 3z = 0 Combine like terms: z + 3z = 4z 9 + 4z = 0 Solving 9 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4z = 0 + -9 4z = 0 + -9 Combine like terms: 0 + -9 = -9 4z = -9 Divide each side by '4'. z = -2.25 Simplifying z = -2.25
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