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Simplifying 7(z + 4) + -1(7 + 2z) = 4z Reorder the terms: 7(4 + z) + -1(7 + 2z) = 4z (4 * 7 + z * 7) + -1(7 + 2z) = 4z (28 + 7z) + -1(7 + 2z) = 4z 28 + 7z + (7 * -1 + 2z * -1) = 4z 28 + 7z + (-7 + -2z) = 4z Reorder the terms: 28 + -7 + 7z + -2z = 4z Combine like terms: 28 + -7 = 21 21 + 7z + -2z = 4z Combine like terms: 7z + -2z = 5z 21 + 5z = 4z Solving 21 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 21 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z 21 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 21 + 1z = 0 Add '-21' to each side of the equation. 21 + -21 + 1z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1z = 0 + -21 1z = 0 + -21 Combine like terms: 0 + -21 = -21 1z = -21 Divide each side by '1'. z = -21 Simplifying z = -21
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