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Simplifying -10.2 = z + -3.5 Reorder the terms: -10.2 = -3.5 + z Solving -10.2 = -3.5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -10.2 + -1z = -3.5 + z + -1z Combine like terms: z + -1z = 0 -10.2 + -1z = -3.5 + 0 -10.2 + -1z = -3.5 Add '10.2' to each side of the equation. -10.2 + 10.2 + -1z = -3.5 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + -1z = -3.5 + 10.2 -1z = -3.5 + 10.2 Combine like terms: -3.5 + 10.2 = 6.7 -1z = 6.7 Divide each side by '-1'. z = -6.7 Simplifying z = -6.7
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