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Simplifying 1.2b + 2.6 = 10.1 + -1(1.3b) Reorder the terms: 2.6 + 1.2b = 10.1 + -1(1.3b) Remove parenthesis around (1.3b) 2.6 + 1.2b = 10.1 + -1 * 1.3b Multiply -1 * 1.3 2.6 + 1.2b = 10.1 + -1.3b Solving 2.6 + 1.2b = 10.1 + -1.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.3b' to each side of the equation. 2.6 + 1.2b + 1.3b = 10.1 + -1.3b + 1.3b Combine like terms: 1.2b + 1.3b = 2.5b 2.6 + 2.5b = 10.1 + -1.3b + 1.3b Combine like terms: -1.3b + 1.3b = 0.0 2.6 + 2.5b = 10.1 + 0.0 2.6 + 2.5b = 10.1 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 2.5b = 10.1 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 2.5b = 10.1 + -2.6 2.5b = 10.1 + -2.6 Combine like terms: 10.1 + -2.6 = 7.5 2.5b = 7.5 Divide each side by '2.5'. b = 3 Simplifying b = 3
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