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Simplifying -3b + 0.4 = 3(b + 0.4) Reorder the terms: 0.4 + -3b = 3(b + 0.4) Reorder the terms: 0.4 + -3b = 3(0.4 + b) 0.4 + -3b = (0.4 * 3 + b * 3) 0.4 + -3b = (1.2 + 3b) Solving 0.4 + -3b = 1.2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 0.4 + -3b + -3b = 1.2 + 3b + -3b Combine like terms: -3b + -3b = -6b 0.4 + -6b = 1.2 + 3b + -3b Combine like terms: 3b + -3b = 0 0.4 + -6b = 1.2 + 0 0.4 + -6b = 1.2 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -6b = 1.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -6b = 1.2 + -0.4 -6b = 1.2 + -0.4 Combine like terms: 1.2 + -0.4 = 0.8 -6b = 0.8 Divide each side by '-6'. b = -0.1333333333 Simplifying b = -0.1333333333
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