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Simplifying z * 3 + 5z + 3z * 2 + 1 + -4 + -2z * 2 = 0 Reorder the terms for easier multiplication: 3z + 5z + 3z * 2 + 1 + -4 + -2z * 2 = 0 Reorder the terms for easier multiplication: 3z + 5z + 3 * 2z + 1 + -4 + -2z * 2 = 0 Multiply 3 * 2 3z + 5z + 6z + 1 + -4 + -2z * 2 = 0 Reorder the terms for easier multiplication: 3z + 5z + 6z + 1 + -4 + -2 * 2z = 0 Multiply -2 * 2 3z + 5z + 6z + 1 + -4 + -4z = 0 Reorder the terms: 1 + -4 + 3z + 5z + 6z + -4z = 0 Combine like terms: 1 + -4 = -3 -3 + 3z + 5z + 6z + -4z = 0 Combine like terms: 3z + 5z = 8z -3 + 8z + 6z + -4z = 0 Combine like terms: 8z + 6z = 14z -3 + 14z + -4z = 0 Combine like terms: 14z + -4z = 10z -3 + 10z = 0 Solving -3 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10z = 0 + 3 10z = 0 + 3 Combine like terms: 0 + 3 = 3 10z = 3 Divide each side by '10'. z = 0.3 Simplifying z = 0.3
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