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Simplifying 3 + 3.5(1 + -6z) = 28.5 3 + (1 * 3.5 + -6z * 3.5) = 28.5 3 + (3.5 + -21z) = 28.5 Combine like terms: 3 + 3.5 = 6.5 6.5 + -21z = 28.5 Solving 6.5 + -21z = 28.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -21z = 28.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -21z = 28.5 + -6.5 -21z = 28.5 + -6.5 Combine like terms: 28.5 + -6.5 = 22 -21z = 22 Divide each side by '-21'. z = -1.047619048 Simplifying z = -1.047619048
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