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Simplifying 0.10b + 15 = 0.15b + 10 Reorder the terms: 15 + 0.10b = 0.15b + 10 Reorder the terms: 15 + 0.10b = 10 + 0.15b Solving 15 + 0.10b = 10 + 0.15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.15b' to each side of the equation. 15 + 0.10b + -0.15b = 10 + 0.15b + -0.15b Combine like terms: 0.10b + -0.15b = -0.05b 15 + -0.05b = 10 + 0.15b + -0.15b Combine like terms: 0.15b + -0.15b = 0.00 15 + -0.05b = 10 + 0.00 15 + -0.05b = 10 Add '-15' to each side of the equation. 15 + -15 + -0.05b = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.05b = 10 + -15 -0.05b = 10 + -15 Combine like terms: 10 + -15 = -5 -0.05b = -5 Divide each side by '-0.05'. b = 100 Simplifying b = 100
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