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Simplifying 2 + -7z + -2 = -1(3z + 4) Reorder the terms: 2 + -2 + -7z = -1(3z + 4) Combine like terms: 2 + -2 = 0 0 + -7z = -1(3z + 4) -7z = -1(3z + 4) Reorder the terms: -7z = -1(4 + 3z) -7z = (4 * -1 + 3z * -1) -7z = (-4 + -3z) Solving -7z = -4 + -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. -7z + 3z = -4 + -3z + 3z Combine like terms: -7z + 3z = -4z -4z = -4 + -3z + 3z Combine like terms: -3z + 3z = 0 -4z = -4 + 0 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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