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Simplifying -5z + (-13Z + -8) = 8 + (7Z + 3) Reorder the terms: -5z + (-8 + -13Z) = 8 + (7Z + 3) Remove parenthesis around (-8 + -13Z) -5z + -8 + -13Z = 8 + (7Z + 3) Reorder the terms: -8 + -13Z + -5z = 8 + (7Z + 3) Reorder the terms: -8 + -13Z + -5z = 8 + (3 + 7Z) Remove parenthesis around (3 + 7Z) -8 + -13Z + -5z = 8 + 3 + 7Z Combine like terms: 8 + 3 = 11 -8 + -13Z + -5z = 11 + 7Z Solving -8 + -13Z + -5z = 11 + 7Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-7Z' to each side of the equation. -8 + -13Z + -7Z + -5z = 11 + 7Z + -7Z Combine like terms: -13Z + -7Z = -20Z -8 + -20Z + -5z = 11 + 7Z + -7Z Combine like terms: 7Z + -7Z = 0 -8 + -20Z + -5z = 11 + 0 -8 + -20Z + -5z = 11 Add '8' to each side of the equation. -8 + -20Z + 8 + -5z = 11 + 8 Reorder the terms: -8 + 8 + -20Z + -5z = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -20Z + -5z = 11 + 8 -20Z + -5z = 11 + 8 Combine like terms: 11 + 8 = 19 -20Z + -5z = 19 Add '5z' to each side of the equation. -20Z + -5z + 5z = 19 + 5z Combine like terms: -5z + 5z = 0 -20Z + 0 = 19 + 5z -20Z = 19 + 5z Divide each side by '-20'. Z = -0.95 + -0.25z Simplifying Z = -0.95 + -0.25z
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