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Simplifying 7(z + 8) + -1(1 + -5z) = 11z Reorder the terms: 7(8 + z) + -1(1 + -5z) = 11z (8 * 7 + z * 7) + -1(1 + -5z) = 11z (56 + 7z) + -1(1 + -5z) = 11z 56 + 7z + (1 * -1 + -5z * -1) = 11z 56 + 7z + (-1 + 5z) = 11z Reorder the terms: 56 + -1 + 7z + 5z = 11z Combine like terms: 56 + -1 = 55 55 + 7z + 5z = 11z Combine like terms: 7z + 5z = 12z 55 + 12z = 11z Solving 55 + 12z = 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 55 + 12z + -11z = 11z + -11z Combine like terms: 12z + -11z = 1z 55 + 1z = 11z + -11z Combine like terms: 11z + -11z = 0 55 + 1z = 0 Add '-55' to each side of the equation. 55 + -55 + 1z = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 1z = 0 + -55 1z = 0 + -55 Combine like terms: 0 + -55 = -55 1z = -55 Divide each side by '1'. z = -55 Simplifying z = -55
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