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Simplifying -1.8 + -0.1b = -4.4 + 1 + 1.9b + -0.4 Reorder the terms: -1.8 + -0.1b = -4.4 + 1 + -0.4 + 1.9b Combine like terms: -4.4 + 1 = -3.4 -1.8 + -0.1b = -3.4 + -0.4 + 1.9b Combine like terms: -3.4 + -0.4 = -3.8 -1.8 + -0.1b = -3.8 + 1.9b Solving -1.8 + -0.1b = -3.8 + 1.9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.9b' to each side of the equation. -1.8 + -0.1b + -1.9b = -3.8 + 1.9b + -1.9b Combine like terms: -0.1b + -1.9b = -2b -1.8 + -2b = -3.8 + 1.9b + -1.9b Combine like terms: 1.9b + -1.9b = 0.0 -1.8 + -2b = -3.8 + 0.0 -1.8 + -2b = -3.8 Add '1.8' to each side of the equation. -1.8 + 1.8 + -2b = -3.8 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -2b = -3.8 + 1.8 -2b = -3.8 + 1.8 Combine like terms: -3.8 + 1.8 = -2 -2b = -2 Divide each side by '-2'. b = 1 Simplifying b = 1
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