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Simplifying 0.75b + -2 = -4.6 + 0.8b + 0.6b Reorder the terms: -2 + 0.75b = -4.6 + 0.8b + 0.6b Combine like terms: 0.8b + 0.6b = 1.4b -2 + 0.75b = -4.6 + 1.4b Solving -2 + 0.75b = -4.6 + 1.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.4b' to each side of the equation. -2 + 0.75b + -1.4b = -4.6 + 1.4b + -1.4b Combine like terms: 0.75b + -1.4b = -0.65b -2 + -0.65b = -4.6 + 1.4b + -1.4b Combine like terms: 1.4b + -1.4b = 0.0 -2 + -0.65b = -4.6 + 0.0 -2 + -0.65b = -4.6 Add '2' to each side of the equation. -2 + 2 + -0.65b = -4.6 + 2 Combine like terms: -2 + 2 = 0 0 + -0.65b = -4.6 + 2 -0.65b = -4.6 + 2 Combine like terms: -4.6 + 2 = -2.6 -0.65b = -2.6 Divide each side by '-0.65'. b = 4 Simplifying b = 4
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