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Simplifying 122 = 7(z + 8) + -5(6 + -1z) Reorder the terms: 122 = 7(8 + z) + -5(6 + -1z) 122 = (8 * 7 + z * 7) + -5(6 + -1z) 122 = (56 + 7z) + -5(6 + -1z) 122 = 56 + 7z + (6 * -5 + -1z * -5) 122 = 56 + 7z + (-30 + 5z) Reorder the terms: 122 = 56 + -30 + 7z + 5z Combine like terms: 56 + -30 = 26 122 = 26 + 7z + 5z Combine like terms: 7z + 5z = 12z 122 = 26 + 12z Solving 122 = 26 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 122 + -12z = 26 + 12z + -12z Combine like terms: 12z + -12z = 0 122 + -12z = 26 + 0 122 + -12z = 26 Add '-122' to each side of the equation. 122 + -122 + -12z = 26 + -122 Combine like terms: 122 + -122 = 0 0 + -12z = 26 + -122 -12z = 26 + -122 Combine like terms: 26 + -122 = -96 -12z = -96 Divide each side by '-12'. z = 8 Simplifying z = 8
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