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Simplifying -4z + -8 + -3.5z = -20.5 Reorder the terms: -8 + -4z + -3.5z = -20.5 Combine like terms: -4z + -3.5z = -7.5z -8 + -7.5z = -20.5 Solving -8 + -7.5z = -20.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7.5z = -20.5 + 8 Combine like terms: -8 + 8 = 0 0 + -7.5z = -20.5 + 8 -7.5z = -20.5 + 8 Combine like terms: -20.5 + 8 = -12.5 -7.5z = -12.5 Divide each side by '-7.5'. z = 1.666666667 Simplifying z = 1.666666667
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