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Simplifying 0.8b + 13 = 0.83b + 14 Reorder the terms: 13 + 0.8b = 0.83b + 14 Reorder the terms: 13 + 0.8b = 14 + 0.83b Solving 13 + 0.8b = 14 + 0.83b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.83b' to each side of the equation. 13 + 0.8b + -0.83b = 14 + 0.83b + -0.83b Combine like terms: 0.8b + -0.83b = -0.03b 13 + -0.03b = 14 + 0.83b + -0.83b Combine like terms: 0.83b + -0.83b = 0.00 13 + -0.03b = 14 + 0.00 13 + -0.03b = 14 Add '-13' to each side of the equation. 13 + -13 + -0.03b = 14 + -13 Combine like terms: 13 + -13 = 0 0 + -0.03b = 14 + -13 -0.03b = 14 + -13 Combine like terms: 14 + -13 = 1 -0.03b = 1 Divide each side by '-0.03'. b = -33.33333333 Simplifying b = -33.33333333
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