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Simplifying -6 = -2 + z + -3 Reorder the terms: -6 = -2 + -3 + z Combine like terms: -2 + -3 = -5 -6 = -5 + z Solving -6 = -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. -6 + -1z = -5 + z + -1z Combine like terms: z + -1z = 0 -6 + -1z = -5 + 0 -6 + -1z = -5 Add '6' to each side of the equation. -6 + 6 + -1z = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = -5 + 6 -1z = -5 + 6 Combine like terms: -5 + 6 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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