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Simplifying 0.3b + -1.5 = 0.25(b + 2) + 0.05 Reorder the terms: -1.5 + 0.3b = 0.25(b + 2) + 0.05 Reorder the terms: -1.5 + 0.3b = 0.25(2 + b) + 0.05 -1.5 + 0.3b = (2 * 0.25 + b * 0.25) + 0.05 -1.5 + 0.3b = (0.5 + 0.25b) + 0.05 Reorder the terms: -1.5 + 0.3b = 0.5 + 0.05 + 0.25b Combine like terms: 0.5 + 0.05 = 0.55 -1.5 + 0.3b = 0.55 + 0.25b Solving -1.5 + 0.3b = 0.55 + 0.25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.25b' to each side of the equation. -1.5 + 0.3b + -0.25b = 0.55 + 0.25b + -0.25b Combine like terms: 0.3b + -0.25b = 0.05b -1.5 + 0.05b = 0.55 + 0.25b + -0.25b Combine like terms: 0.25b + -0.25b = 0.00 -1.5 + 0.05b = 0.55 + 0.00 -1.5 + 0.05b = 0.55 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.05b = 0.55 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.05b = 0.55 + 1.5 0.05b = 0.55 + 1.5 Combine like terms: 0.55 + 1.5 = 2.05 0.05b = 2.05 Divide each side by '0.05'. b = 41 Simplifying b = 41
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