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Simplifying -3z + -0.9 + 0.7z + -4.6z + 4 = 0 Reorder the terms: -0.9 + 4 + -3z + 0.7z + -4.6z = 0 Combine like terms: -0.9 + 4 = 3.1 3.1 + -3z + 0.7z + -4.6z = 0 Combine like terms: -3z + 0.7z = -2.3z 3.1 + -2.3z + -4.6z = 0 Combine like terms: -2.3z + -4.6z = -6.9z 3.1 + -6.9z = 0 Solving 3.1 + -6.9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + -6.9z = 0 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -6.9z = 0 + -3.1 -6.9z = 0 + -3.1 Combine like terms: 0 + -3.1 = -3.1 -6.9z = -3.1 Divide each side by '-6.9'. z = 0.4492753623 Simplifying z = 0.4492753623
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