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Simplifying 3z + 10 = z + -2 Reorder the terms: 10 + 3z = z + -2 Reorder the terms: 10 + 3z = -2 + z Solving 10 + 3z = -2 + 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 + 3z + -1z = -2 + z + -1z Combine like terms: 3z + -1z = 2z 10 + 2z = -2 + z + -1z Combine like terms: z + -1z = 0 10 + 2z = -2 + 0 10 + 2z = -2 Add '-10' to each side of the equation. 10 + -10 + 2z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = -2 + -10 2z = -2 + -10 Combine like terms: -2 + -10 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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