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Simplifying 13 = 7(b + 1) + -3(6 + b) Reorder the terms: 13 = 7(1 + b) + -3(6 + b) 13 = (1 * 7 + b * 7) + -3(6 + b) 13 = (7 + 7b) + -3(6 + b) 13 = 7 + 7b + (6 * -3 + b * -3) 13 = 7 + 7b + (-18 + -3b) Reorder the terms: 13 = 7 + -18 + 7b + -3b Combine like terms: 7 + -18 = -11 13 = -11 + 7b + -3b Combine like terms: 7b + -3b = 4b 13 = -11 + 4b Solving 13 = -11 + 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. 13 + -4b = -11 + 4b + -4b Combine like terms: 4b + -4b = 0 13 + -4b = -11 + 0 13 + -4b = -11 Add '-13' to each side of the equation. 13 + -13 + -4b = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -4b = -11 + -13 -4b = -11 + -13 Combine like terms: -11 + -13 = -24 -4b = -24 Divide each side by '-4'. b = 6 Simplifying b = 6
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