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Simplifying 2 = -8(-7 + 6b) + 3(8 + 3b) 2 = (-7 * -8 + 6b * -8) + 3(8 + 3b) 2 = (56 + -48b) + 3(8 + 3b) 2 = 56 + -48b + (8 * 3 + 3b * 3) 2 = 56 + -48b + (24 + 9b) Reorder the terms: 2 = 56 + 24 + -48b + 9b Combine like terms: 56 + 24 = 80 2 = 80 + -48b + 9b Combine like terms: -48b + 9b = -39b 2 = 80 + -39b Solving 2 = 80 + -39b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '39b' to each side of the equation. 2 + 39b = 80 + -39b + 39b Combine like terms: -39b + 39b = 0 2 + 39b = 80 + 0 2 + 39b = 80 Add '-2' to each side of the equation. 2 + -2 + 39b = 80 + -2 Combine like terms: 2 + -2 = 0 0 + 39b = 80 + -2 39b = 80 + -2 Combine like terms: 80 + -2 = 78 39b = 78 Divide each side by '39'. b = 2 Simplifying b = 2
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