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Simplifying 40 + 5b = -6(b + -3) Reorder the terms: 40 + 5b = -6(-3 + b) 40 + 5b = (-3 * -6 + b * -6) 40 + 5b = (18 + -6b) Solving 40 + 5b = 18 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 40 + 5b + 6b = 18 + -6b + 6b Combine like terms: 5b + 6b = 11b 40 + 11b = 18 + -6b + 6b Combine like terms: -6b + 6b = 0 40 + 11b = 18 + 0 40 + 11b = 18 Add '-40' to each side of the equation. 40 + -40 + 11b = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 11b = 18 + -40 11b = 18 + -40 Combine like terms: 18 + -40 = -22 11b = -22 Divide each side by '11'. b = -2 Simplifying b = -2
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