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Simplifying -39 + 3b = 6(1 + 2b) -39 + 3b = (1 * 6 + 2b * 6) -39 + 3b = (6 + 12b) Solving -39 + 3b = 6 + 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. -39 + 3b + -12b = 6 + 12b + -12b Combine like terms: 3b + -12b = -9b -39 + -9b = 6 + 12b + -12b Combine like terms: 12b + -12b = 0 -39 + -9b = 6 + 0 -39 + -9b = 6 Add '39' to each side of the equation. -39 + 39 + -9b = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -9b = 6 + 39 -9b = 6 + 39 Combine like terms: 6 + 39 = 45 -9b = 45 Divide each side by '-9'. b = -5 Simplifying b = -5
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