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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 = -4z 10 + -4z = 2 + z + -1z Combine like terms: z + -1z = 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 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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