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Simplifying 122 = 7(z + 8) + -5(6 + z) Reorder the terms: 122 = 7(8 + z) + -5(6 + z) 122 = (8 * 7 + z * 7) + -5(6 + z) 122 = (56 + 7z) + -5(6 + z) 122 = 56 + 7z + (6 * -5 + z * -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 = 2z 122 = 26 + 2z Solving 122 = 26 + 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. 122 + -2z = 26 + 2z + -2z Combine like terms: 2z + -2z = 0 122 + -2z = 26 + 0 122 + -2z = 26 Add '-122' to each side of the equation. 122 + -122 + -2z = 26 + -122 Combine like terms: 122 + -122 = 0 0 + -2z = 26 + -122 -2z = 26 + -122 Combine like terms: 26 + -122 = -96 -2z = -96 Divide each side by '-2'. z = 48 Simplifying z = 48
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