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Simplifying 0.1b = 2(-10b + 6.62) + 19.7b Reorder the terms: 0.1b = 2(6.62 + -10b) + 19.7b 0.1b = (6.62 * 2 + -10b * 2) + 19.7b 0.1b = (13.24 + -20b) + 19.7b Combine like terms: -20b + 19.7b = -0.3b 0.1b = 13.24 + -0.3b Solving 0.1b = 13.24 + -0.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.3b' to each side of the equation. 0.1b + 0.3b = 13.24 + -0.3b + 0.3b Combine like terms: 0.1b + 0.3b = 0.4b 0.4b = 13.24 + -0.3b + 0.3b Combine like terms: -0.3b + 0.3b = 0.0 0.4b = 13.24 + 0.0 0.4b = 13.24 Divide each side by '0.4'. b = 33.1 Simplifying b = 33.1
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