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Simplifying 3(1 + 3z) + -4(z + -2) + 3 = 0 (1 * 3 + 3z * 3) + -4(z + -2) + 3 = 0 (3 + 9z) + -4(z + -2) + 3 = 0 Reorder the terms: 3 + 9z + -4(-2 + z) + 3 = 0 3 + 9z + (-2 * -4 + z * -4) + 3 = 0 3 + 9z + (8 + -4z) + 3 = 0 Reorder the terms: 3 + 8 + 3 + 9z + -4z = 0 Combine like terms: 3 + 8 = 11 11 + 3 + 9z + -4z = 0 Combine like terms: 11 + 3 = 14 14 + 9z + -4z = 0 Combine like terms: 9z + -4z = 5z 14 + 5z = 0 Solving 14 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5z = 0 + -14 5z = 0 + -14 Combine like terms: 0 + -14 = -14 5z = -14 Divide each side by '5'. z = -2.8 Simplifying z = -2.8
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