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Simplifying 2(b + 3) + -4b + 13 = -1(4b + -7) Reorder the terms: 2(3 + b) + -4b + 13 = -1(4b + -7) (3 * 2 + b * 2) + -4b + 13 = -1(4b + -7) (6 + 2b) + -4b + 13 = -1(4b + -7) Reorder the terms: 6 + 13 + 2b + -4b = -1(4b + -7) Combine like terms: 6 + 13 = 19 19 + 2b + -4b = -1(4b + -7) Combine like terms: 2b + -4b = -2b 19 + -2b = -1(4b + -7) Reorder the terms: 19 + -2b = -1(-7 + 4b) 19 + -2b = (-7 * -1 + 4b * -1) 19 + -2b = (7 + -4b) Solving 19 + -2b = 7 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 19 + -2b + 4b = 7 + -4b + 4b Combine like terms: -2b + 4b = 2b 19 + 2b = 7 + -4b + 4b Combine like terms: -4b + 4b = 0 19 + 2b = 7 + 0 19 + 2b = 7 Add '-19' to each side of the equation. 19 + -19 + 2b = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 2b = 7 + -19 2b = 7 + -19 Combine like terms: 7 + -19 = -12 2b = -12 Divide each side by '2'. b = -6 Simplifying b = -6
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