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Simplifying Z + 0.2z + -3.6 = 5.8(z + -3) Reorder the terms: -3.6 + Z + 0.2z = 5.8(z + -3) Reorder the terms: -3.6 + Z + 0.2z = 5.8(-3 + z) -3.6 + Z + 0.2z = (-3 * 5.8 + z * 5.8) -3.6 + Z + 0.2z = (-17.4 + 5.8z) Solving -3.6 + Z + 0.2z = -17.4 + 5.8z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '3.6' to each side of the equation. -3.6 + Z + 3.6 + 0.2z = -17.4 + 3.6 + 5.8z Reorder the terms: -3.6 + 3.6 + Z + 0.2z = -17.4 + 3.6 + 5.8z Combine like terms: -3.6 + 3.6 = 0.0 0.0 + Z + 0.2z = -17.4 + 3.6 + 5.8z Z + 0.2z = -17.4 + 3.6 + 5.8z Combine like terms: -17.4 + 3.6 = -13.8 Z + 0.2z = -13.8 + 5.8z Add '-0.2z' to each side of the equation. Z + 0.2z + -0.2z = -13.8 + 5.8z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 Z + 0.0 = -13.8 + 5.8z + -0.2z Z = -13.8 + 5.8z + -0.2z Combine like terms: 5.8z + -0.2z = 5.6z Z = -13.8 + 5.6z Simplifying Z = -13.8 + 5.6z
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