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Simplifying 4 + -6z = -10 + -8z Solving 4 + -6z = -10 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 4 + -6z + 8z = -10 + -8z + 8z Combine like terms: -6z + 8z = 2z 4 + 2z = -10 + -8z + 8z Combine like terms: -8z + 8z = 0 4 + 2z = -10 + 0 4 + 2z = -10 Add '-4' to each side of the equation. 4 + -4 + 2z = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = -10 + -4 2z = -10 + -4 Combine like terms: -10 + -4 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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