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Simplifying -2(z + -4) + -3z + -2 = -2 + -6z + -2 Reorder the terms: -2(-4 + z) + -3z + -2 = -2 + -6z + -2 (-4 * -2 + z * -2) + -3z + -2 = -2 + -6z + -2 (8 + -2z) + -3z + -2 = -2 + -6z + -2 Reorder the terms: 8 + -2 + -2z + -3z = -2 + -6z + -2 Combine like terms: 8 + -2 = 6 6 + -2z + -3z = -2 + -6z + -2 Combine like terms: -2z + -3z = -5z 6 + -5z = -2 + -6z + -2 Reorder the terms: 6 + -5z = -2 + -2 + -6z Combine like terms: -2 + -2 = -4 6 + -5z = -4 + -6z Solving 6 + -5z = -4 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 6 + -5z + 6z = -4 + -6z + 6z Combine like terms: -5z + 6z = 1z 6 + 1z = -4 + -6z + 6z Combine like terms: -6z + 6z = 0 6 + 1z = -4 + 0 6 + 1z = -4 Add '-6' to each side of the equation. 6 + -6 + 1z = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = -4 + -6 1z = -4 + -6 Combine like terms: -4 + -6 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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