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Simplifying 40 = 2(2 + -6b) + -5(b + 3) 40 = (2 * 2 + -6b * 2) + -5(b + 3) 40 = (4 + -12b) + -5(b + 3) Reorder the terms: 40 = 4 + -12b + -5(3 + b) 40 = 4 + -12b + (3 * -5 + b * -5) 40 = 4 + -12b + (-15 + -5b) Reorder the terms: 40 = 4 + -15 + -12b + -5b Combine like terms: 4 + -15 = -11 40 = -11 + -12b + -5b Combine like terms: -12b + -5b = -17b 40 = -11 + -17b Solving 40 = -11 + -17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17b' to each side of the equation. 40 + 17b = -11 + -17b + 17b Combine like terms: -17b + 17b = 0 40 + 17b = -11 + 0 40 + 17b = -11 Add '-40' to each side of the equation. 40 + -40 + 17b = -11 + -40 Combine like terms: 40 + -40 = 0 0 + 17b = -11 + -40 17b = -11 + -40 Combine like terms: -11 + -40 = -51 17b = -51 Divide each side by '17'. b = -3 Simplifying b = -3
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