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Simplifying -1(1 + 3b) + -1(4b + 3) = -2b + -7b (1 * -1 + 3b * -1) + -1(4b + 3) = -2b + -7b (-1 + -3b) + -1(4b + 3) = -2b + -7b Reorder the terms: -1 + -3b + -1(3 + 4b) = -2b + -7b -1 + -3b + (3 * -1 + 4b * -1) = -2b + -7b -1 + -3b + (-3 + -4b) = -2b + -7b Reorder the terms: -1 + -3 + -3b + -4b = -2b + -7b Combine like terms: -1 + -3 = -4 -4 + -3b + -4b = -2b + -7b Combine like terms: -3b + -4b = -7b -4 + -7b = -2b + -7b Combine like terms: -2b + -7b = -9b -4 + -7b = -9b Solving -4 + -7b = -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -4 + -7b + 9b = -9b + 9b Combine like terms: -7b + 9b = 2b -4 + 2b = -9b + 9b Combine like terms: -9b + 9b = 0 -4 + 2b = 0 Add '4' to each side of the equation. -4 + 4 + 2b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2b = 0 + 4 2b = 0 + 4 Combine like terms: 0 + 4 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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