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Simplifying 7 + (1.2b + -3) + (-1.4b + 2) = -12b + 38 Reorder the terms: 7 + (-3 + 1.2b) + (-1.4b + 2) = -12b + 38 Remove parenthesis around (-3 + 1.2b) 7 + -3 + 1.2b + (-1.4b + 2) = -12b + 38 Reorder the terms: 7 + -3 + 1.2b + (2 + -1.4b) = -12b + 38 Remove parenthesis around (2 + -1.4b) 7 + -3 + 1.2b + 2 + -1.4b = -12b + 38 Reorder the terms: 7 + -3 + 2 + 1.2b + -1.4b = -12b + 38 Combine like terms: 7 + -3 = 4 4 + 2 + 1.2b + -1.4b = -12b + 38 Combine like terms: 4 + 2 = 6 6 + 1.2b + -1.4b = -12b + 38 Combine like terms: 1.2b + -1.4b = -0.2b 6 + -0.2b = -12b + 38 Reorder the terms: 6 + -0.2b = 38 + -12b Solving 6 + -0.2b = 38 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 6 + -0.2b + 12b = 38 + -12b + 12b Combine like terms: -0.2b + 12b = 11.8b 6 + 11.8b = 38 + -12b + 12b Combine like terms: -12b + 12b = 0 6 + 11.8b = 38 + 0 6 + 11.8b = 38 Add '-6' to each side of the equation. 6 + -6 + 11.8b = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 11.8b = 38 + -6 11.8b = 38 + -6 Combine like terms: 38 + -6 = 32 11.8b = 32 Divide each side by '11.8'. b = 2.711864407 Simplifying b = 2.711864407
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