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Simplifying 7Z + 10 + -4z = 1 + 2z + 7 Reorder the terms: 10 + 7Z + -4z = 1 + 2z + 7 Reorder the terms: 10 + 7Z + -4z = 1 + 7 + 2z Combine like terms: 1 + 7 = 8 10 + 7Z + -4z = 8 + 2z Solving 10 + 7Z + -4z = 8 + 2z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7Z + -10 + -4z = 8 + -10 + 2z Reorder the terms: 10 + -10 + 7Z + -4z = 8 + -10 + 2z Combine like terms: 10 + -10 = 0 0 + 7Z + -4z = 8 + -10 + 2z 7Z + -4z = 8 + -10 + 2z Combine like terms: 8 + -10 = -2 7Z + -4z = -2 + 2z Add '4z' to each side of the equation. 7Z + -4z + 4z = -2 + 2z + 4z Combine like terms: -4z + 4z = 0 7Z + 0 = -2 + 2z + 4z 7Z = -2 + 2z + 4z Combine like terms: 2z + 4z = 6z 7Z = -2 + 6z Divide each side by '7'. Z = -0.2857142857 + 0.8571428571z Simplifying Z = -0.2857142857 + 0.8571428571z
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