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Simplifying 6.5 = -3.1(z + 4.3) Reorder the terms: 6.5 = -3.1(4.3 + z) 6.5 = (4.3 * -3.1 + z * -3.1) 6.5 = (-13.33 + -3.1z) Solving 6.5 = -13.33 + -3.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.1z' to each side of the equation. 6.5 + 3.1z = -13.33 + -3.1z + 3.1z Combine like terms: -3.1z + 3.1z = 0.0 6.5 + 3.1z = -13.33 + 0.0 6.5 + 3.1z = -13.33 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 3.1z = -13.33 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 3.1z = -13.33 + -6.5 3.1z = -13.33 + -6.5 Combine like terms: -13.33 + -6.5 = -19.83 3.1z = -19.83 Divide each side by '3.1'. z = -6.396774194 Simplifying z = -6.396774194
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