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Simplifying -2(-4 + -6z) = -10 + 3z (-4 * -2 + -6z * -2) = -10 + 3z (8 + 12z) = -10 + 3z Solving 8 + 12z = -10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + 12z + -3z = -10 + 3z + -3z Combine like terms: 12z + -3z = 9z 8 + 9z = -10 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 9z = -10 + 0 8 + 9z = -10 Add '-8' to each side of the equation. 8 + -8 + 9z = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 9z = -10 + -8 9z = -10 + -8 Combine like terms: -10 + -8 = -18 9z = -18 Divide each side by '9'. z = -2 Simplifying z = -2
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