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Simplifying 4(5Z + 1) + -7 = 97 Reorder the terms: 4(1 + 5Z) + -7 = 97 (1 * 4 + 5Z * 4) + -7 = 97 (4 + 20Z) + -7 = 97 Reorder the terms: 4 + -7 + 20Z = 97 Combine like terms: 4 + -7 = -3 -3 + 20Z = 97 Solving -3 + 20Z = 97 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 20Z = 97 + 3 Combine like terms: -3 + 3 = 0 0 + 20Z = 97 + 3 20Z = 97 + 3 Combine like terms: 97 + 3 = 100 20Z = 100 Divide each side by '20'. Z = 5 Simplifying Z = 5
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