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Simplifying 0.3b + 2.7 = 0.02b + -0.1 Reorder the terms: 2.7 + 0.3b = 0.02b + -0.1 Reorder the terms: 2.7 + 0.3b = -0.1 + 0.02b Solving 2.7 + 0.3b = -0.1 + 0.02b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.02b' to each side of the equation. 2.7 + 0.3b + -0.02b = -0.1 + 0.02b + -0.02b Combine like terms: 0.3b + -0.02b = 0.28b 2.7 + 0.28b = -0.1 + 0.02b + -0.02b Combine like terms: 0.02b + -0.02b = 0.00 2.7 + 0.28b = -0.1 + 0.00 2.7 + 0.28b = -0.1 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 0.28b = -0.1 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 0.28b = -0.1 + -2.7 0.28b = -0.1 + -2.7 Combine like terms: -0.1 + -2.7 = -2.8 0.28b = -2.8 Divide each side by '0.28'. b = -10 Simplifying b = -10
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