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Simplifying 7(z + 4) + -1(4z + -8) = 2z Reorder the terms: 7(4 + z) + -1(4z + -8) = 2z (4 * 7 + z * 7) + -1(4z + -8) = 2z (28 + 7z) + -1(4z + -8) = 2z Reorder the terms: 28 + 7z + -1(-8 + 4z) = 2z 28 + 7z + (-8 * -1 + 4z * -1) = 2z 28 + 7z + (8 + -4z) = 2z Reorder the terms: 28 + 8 + 7z + -4z = 2z Combine like terms: 28 + 8 = 36 36 + 7z + -4z = 2z Combine like terms: 7z + -4z = 3z 36 + 3z = 2z Solving 36 + 3z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 36 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z 36 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 36 + 1z = 0 Add '-36' to each side of the equation. 36 + -36 + 1z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 1z = 0 + -36 1z = 0 + -36 Combine like terms: 0 + -36 = -36 1z = -36 Divide each side by '1'. z = -36 Simplifying z = -36
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