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Simplifying Z + -6.5z + 2.9 = -6(z + 0.1) Reorder the terms: 2.9 + Z + -6.5z = -6(z + 0.1) Reorder the terms: 2.9 + Z + -6.5z = -6(0.1 + z) 2.9 + Z + -6.5z = (0.1 * -6 + z * -6) 2.9 + Z + -6.5z = (-0.6 + -6z) Solving 2.9 + Z + -6.5z = -0.6 + -6z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2.9' to each side of the equation. 2.9 + Z + -2.9 + -6.5z = -0.6 + -2.9 + -6z Reorder the terms: 2.9 + -2.9 + Z + -6.5z = -0.6 + -2.9 + -6z Combine like terms: 2.9 + -2.9 = 0.0 0.0 + Z + -6.5z = -0.6 + -2.9 + -6z Z + -6.5z = -0.6 + -2.9 + -6z Combine like terms: -0.6 + -2.9 = -3.5 Z + -6.5z = -3.5 + -6z Add '6.5z' to each side of the equation. Z + -6.5z + 6.5z = -3.5 + -6z + 6.5z Combine like terms: -6.5z + 6.5z = 0.0 Z + 0.0 = -3.5 + -6z + 6.5z Z = -3.5 + -6z + 6.5z Combine like terms: -6z + 6.5z = 0.5z Z = -3.5 + 0.5z Simplifying Z = -3.5 + 0.5z
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