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Simplifying -7.1 + -3Z + -7.5 + -1Z = -3Z + 0.1 Reorder the terms: -7.1 + -7.5 + -3Z + -1Z = -3Z + 0.1 Combine like terms: -7.1 + -7.5 = -14.6 -14.6 + -3Z + -1Z = -3Z + 0.1 Combine like terms: -3Z + -1Z = -4Z -14.6 + -4Z = -3Z + 0.1 Reorder the terms: -14.6 + -4Z = 0.1 + -3Z Solving -14.6 + -4Z = 0.1 + -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. -14.6 + -4Z + 3Z = 0.1 + -3Z + 3Z Combine like terms: -4Z + 3Z = -1Z -14.6 + -1Z = 0.1 + -3Z + 3Z Combine like terms: -3Z + 3Z = 0 -14.6 + -1Z = 0.1 + 0 -14.6 + -1Z = 0.1 Add '14.6' to each side of the equation. -14.6 + 14.6 + -1Z = 0.1 + 14.6 Combine like terms: -14.6 + 14.6 = 0.0 0.0 + -1Z = 0.1 + 14.6 -1Z = 0.1 + 14.6 Combine like terms: 0.1 + 14.6 = 14.7 -1Z = 14.7 Divide each side by '-1'. Z = -14.7 Simplifying Z = -14.7
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