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Simplifying 6z + 10 = 2z + -12 Reorder the terms: 10 + 6z = 2z + -12 Reorder the terms: 10 + 6z = -12 + 2z Solving 10 + 6z = -12 + 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 + 6z + -2z = -12 + 2z + -2z Combine like terms: 6z + -2z = 4z 10 + 4z = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 4z = -12 + 0 10 + 4z = -12 Add '-10' to each side of the equation. 10 + -10 + 4z = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 4z = -12 + -10 4z = -12 + -10 Combine like terms: -12 + -10 = -22 4z = -22 Divide each side by '4'. z = -5.5 Simplifying z = -5.5
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