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Simplifying (Z + -4) + 3z = 4 + -1(z + 2) Reorder the terms: (-4 + Z) + 3z = 4 + -1(z + 2) Remove parenthesis around (-4 + Z) -4 + Z + 3z = 4 + -1(z + 2) Reorder the terms: -4 + Z + 3z = 4 + -1(2 + z) -4 + Z + 3z = 4 + (2 * -1 + z * -1) -4 + Z + 3z = 4 + (-2 + -1z) Combine like terms: 4 + -2 = 2 -4 + Z + 3z = 2 + -1z Solving -4 + Z + 3z = 2 + -1z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + Z + 4 + 3z = 2 + 4 + -1z Reorder the terms: -4 + 4 + Z + 3z = 2 + 4 + -1z Combine like terms: -4 + 4 = 0 0 + Z + 3z = 2 + 4 + -1z Z + 3z = 2 + 4 + -1z Combine like terms: 2 + 4 = 6 Z + 3z = 6 + -1z Add '-3z' to each side of the equation. Z + 3z + -3z = 6 + -1z + -3z Combine like terms: 3z + -3z = 0 Z + 0 = 6 + -1z + -3z Z = 6 + -1z + -3z Combine like terms: -1z + -3z = -4z Z = 6 + -4z Simplifying Z = 6 + -4z
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