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Simplifying 40 + 14b = 2(-4b + -13) Reorder the terms: 40 + 14b = 2(-13 + -4b) 40 + 14b = (-13 * 2 + -4b * 2) 40 + 14b = (-26 + -8b) Solving 40 + 14b = -26 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 40 + 14b + 8b = -26 + -8b + 8b Combine like terms: 14b + 8b = 22b 40 + 22b = -26 + -8b + 8b Combine like terms: -8b + 8b = 0 40 + 22b = -26 + 0 40 + 22b = -26 Add '-40' to each side of the equation. 40 + -40 + 22b = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22b = -26 + -40 22b = -26 + -40 Combine like terms: -26 + -40 = -66 22b = -66 Divide each side by '22'. b = -3 Simplifying b = -3
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