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Simplifying (10 + -3) + -1((1 + -3) * b) = (7 + -2) + -1((1 + -2) * b) Combine like terms: 10 + -3 = 7 (7) + -1((1 + -3) * b) = (7 + -2) + -1((1 + -2) * b) 7 + -1((1 + -3) * b) = (7 + -2) + -1((1 + -2) * b) Combine like terms: 1 + -3 = -2 7 + -1((-2) * b) = (7 + -2) + -1((1 + -2) * b) Remove parenthesis around (-2b) 7 + -1 * -2b = (7 + -2) + -1((1 + -2) * b) Multiply -1 * -2 7 + 2b = (7 + -2) + -1((1 + -2) * b) Combine like terms: 7 + -2 = 5 7 + 2b = (5) + -1((1 + -2) * b) 7 + 2b = 5 + -1((1 + -2) * b) Combine like terms: 1 + -2 = -1 7 + 2b = 5 + -1((-1) * b) Remove parenthesis around (-1b) 7 + 2b = 5 + -1 * -1b Multiply -1 * -1 7 + 2b = 5 + 1b Solving 7 + 2b = 5 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 7 + 2b + -1b = 5 + 1b + -1b Combine like terms: 2b + -1b = 1b 7 + 1b = 5 + 1b + -1b Combine like terms: 1b + -1b = 0 7 + 1b = 5 + 0 7 + 1b = 5 Add '-7' to each side of the equation. 7 + -7 + 1b = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1b = 5 + -7 1b = 5 + -7 Combine like terms: 5 + -7 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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