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Simplifying Z + (Z + -2) + 5(z + -2) = 30 Reorder the terms: Z + (-2 + Z) + 5(z + -2) = 30 Remove parenthesis around (-2 + Z) Z + -2 + Z + 5(z + -2) = 30 Reorder the terms: Z + -2 + Z + 5(-2 + z) = 30 Z + -2 + Z + (-2 * 5 + z * 5) = 30 Z + -2 + Z + (-10 + 5z) = 30 Reorder the terms: -2 + -10 + Z + Z + 5z = 30 Combine like terms: -2 + -10 = -12 -12 + Z + Z + 5z = 30 Combine like terms: Z + Z = 2Z -12 + 2Z + 5z = 30 Solving -12 + 2Z + 5z = 30 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2Z + 12 + 5z = 30 + 12 Reorder the terms: -12 + 12 + 2Z + 5z = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 2Z + 5z = 30 + 12 2Z + 5z = 30 + 12 Combine like terms: 30 + 12 = 42 2Z + 5z = 42 Add '-5z' to each side of the equation. 2Z + 5z + -5z = 42 + -5z Combine like terms: 5z + -5z = 0 2Z + 0 = 42 + -5z 2Z = 42 + -5z Divide each side by '2'. Z = 21 + -2.5z Simplifying Z = 21 + -2.5z
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