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Simplifying z + -10 = 5z + 2 Reorder the terms: -10 + z = 5z + 2 Reorder the terms: -10 + z = 2 + 5z Solving -10 + z = 2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -10 + z + -5z = 2 + 5z + -5z Combine like terms: z + -5z = -4z -10 + -4z = 2 + 5z + -5z Combine like terms: 5z + -5z = 0 -10 + -4z = 2 + 0 -10 + -4z = 2 Add '10' to each side of the equation. -10 + 10 + -4z = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -4z = 2 + 10 -4z = 2 + 10 Combine like terms: 2 + 10 = 12 -4z = 12 Divide each side by '-4'. z = -3 Simplifying z = -3
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