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Simplifying 0.7b + 1.9 + 0.1z = 5.5 + -0.4z Reorder the terms: 1.9 + 0.7b + 0.1z = 5.5 + -0.4z Solving 1.9 + 0.7b + 0.1z = 5.5 + -0.4z Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.9' to each side of the equation. 1.9 + 0.7b + -1.9 + 0.1z = 5.5 + -1.9 + -0.4z Reorder the terms: 1.9 + -1.9 + 0.7b + 0.1z = 5.5 + -1.9 + -0.4z Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 0.7b + 0.1z = 5.5 + -1.9 + -0.4z 0.7b + 0.1z = 5.5 + -1.9 + -0.4z Combine like terms: 5.5 + -1.9 = 3.6 0.7b + 0.1z = 3.6 + -0.4z Add '-0.1z' to each side of the equation. 0.7b + 0.1z + -0.1z = 3.6 + -0.4z + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 0.7b + 0.0 = 3.6 + -0.4z + -0.1z 0.7b = 3.6 + -0.4z + -0.1z Combine like terms: -0.4z + -0.1z = -0.5z 0.7b = 3.6 + -0.5z Divide each side by '0.7'. b = 5.142857143 + -0.7142857143z Simplifying b = 5.142857143 + -0.7142857143z
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