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Simplifying 3z + 10 = 2z + 6 Reorder the terms: 10 + 3z = 2z + 6 Reorder the terms: 10 + 3z = 6 + 2z Solving 10 + 3z = 6 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 10 + 3z + -2z = 6 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 6 + 0 10 + 1z = 6 Add '-10' to each side of the equation. 10 + -10 + 1z = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 6 + -10 1z = 6 + -10 Combine like terms: 6 + -10 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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