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Simplifying Z + -4.5z + 6.9 = -6(z + 2.6) Reorder the terms: 6.9 + Z + -4.5z = -6(z + 2.6) Reorder the terms: 6.9 + Z + -4.5z = -6(2.6 + z) 6.9 + Z + -4.5z = (2.6 * -6 + z * -6) 6.9 + Z + -4.5z = (-15.6 + -6z) Solving 6.9 + Z + -4.5z = -15.6 + -6z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-6.9' to each side of the equation. 6.9 + Z + -6.9 + -4.5z = -15.6 + -6.9 + -6z Reorder the terms: 6.9 + -6.9 + Z + -4.5z = -15.6 + -6.9 + -6z Combine like terms: 6.9 + -6.9 = 0.0 0.0 + Z + -4.5z = -15.6 + -6.9 + -6z Z + -4.5z = -15.6 + -6.9 + -6z Combine like terms: -15.6 + -6.9 = -22.5 Z + -4.5z = -22.5 + -6z Add '4.5z' to each side of the equation. Z + -4.5z + 4.5z = -22.5 + -6z + 4.5z Combine like terms: -4.5z + 4.5z = 0.0 Z + 0.0 = -22.5 + -6z + 4.5z Z = -22.5 + -6z + 4.5z Combine like terms: -6z + 4.5z = -1.5z Z = -22.5 + -1.5z Simplifying Z = -22.5 + -1.5z
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