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Simplifying z + -2 = -3z + -10 Reorder the terms: -2 + z = -3z + -10 Reorder the terms: -2 + z = -10 + -3z Solving -2 + z = -10 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -2 + z + 3z = -10 + -3z + 3z Combine like terms: z + 3z = 4z -2 + 4z = -10 + -3z + 3z Combine like terms: -3z + 3z = 0 -2 + 4z = -10 + 0 -2 + 4z = -10 Add '2' to each side of the equation. -2 + 2 + 4z = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = -10 + 2 4z = -10 + 2 Combine like terms: -10 + 2 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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