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Simplifying -2(3z + -4) + 2z = -8 + -7z + 4 Reorder the terms: -2(-4 + 3z) + 2z = -8 + -7z + 4 (-4 * -2 + 3z * -2) + 2z = -8 + -7z + 4 (8 + -6z) + 2z = -8 + -7z + 4 Combine like terms: -6z + 2z = -4z 8 + -4z = -8 + -7z + 4 Reorder the terms: 8 + -4z = -8 + 4 + -7z Combine like terms: -8 + 4 = -4 8 + -4z = -4 + -7z Solving 8 + -4z = -4 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 8 + -4z + 7z = -4 + -7z + 7z Combine like terms: -4z + 7z = 3z 8 + 3z = -4 + -7z + 7z Combine like terms: -7z + 7z = 0 8 + 3z = -4 + 0 8 + 3z = -4 Add '-8' to each side of the equation. 8 + -8 + 3z = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3z = -4 + -8 3z = -4 + -8 Combine like terms: -4 + -8 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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