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Simplifying 3z + -4(z + 1) = -1(7z + 4) + z Reorder the terms: 3z + -4(1 + z) = -1(7z + 4) + z 3z + (1 * -4 + z * -4) = -1(7z + 4) + z 3z + (-4 + -4z) = -1(7z + 4) + z Reorder the terms: -4 + 3z + -4z = -1(7z + 4) + z Combine like terms: 3z + -4z = -1z -4 + -1z = -1(7z + 4) + z Reorder the terms: -4 + -1z = -1(4 + 7z) + z -4 + -1z = (4 * -1 + 7z * -1) + z -4 + -1z = (-4 + -7z) + z Combine like terms: -7z + z = -6z -4 + -1z = -4 + -6z Add '4' to each side of the equation. -4 + 4 + -1z = -4 + 4 + -6z Combine like terms: -4 + 4 = 0 0 + -1z = -4 + 4 + -6z -1z = -4 + 4 + -6z Combine like terms: -4 + 4 = 0 -1z = 0 + -6z -1z = -6z Solving -1z = -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. -1z + 6z = -6z + 6z Combine like terms: -1z + 6z = 5z 5z = -6z + 6z Combine like terms: -6z + 6z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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