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Simplifying 10 + 5(Z + -2) = -3Z + 7 Reorder the terms: 10 + 5(-2 + Z) = -3Z + 7 10 + (-2 * 5 + Z * 5) = -3Z + 7 10 + (-10 + 5Z) = -3Z + 7 Combine like terms: 10 + -10 = 0 0 + 5Z = -3Z + 7 5Z = -3Z + 7 Reorder the terms: 5Z = 7 + -3Z Solving 5Z = 7 + -3Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '3Z' to each side of the equation. 5Z + 3Z = 7 + -3Z + 3Z Combine like terms: 5Z + 3Z = 8Z 8Z = 7 + -3Z + 3Z Combine like terms: -3Z + 3Z = 0 8Z = 7 + 0 8Z = 7 Divide each side by '8'. Z = 0.875 Simplifying Z = 0.875
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