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Simplifying 40 + 6b = -4(2b + 4) Reorder the terms: 40 + 6b = -4(4 + 2b) 40 + 6b = (4 * -4 + 2b * -4) 40 + 6b = (-16 + -8b) Solving 40 + 6b = -16 + -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 + 6b + 8b = -16 + -8b + 8b Combine like terms: 6b + 8b = 14b 40 + 14b = -16 + -8b + 8b Combine like terms: -8b + 8b = 0 40 + 14b = -16 + 0 40 + 14b = -16 Add '-40' to each side of the equation. 40 + -40 + 14b = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 14b = -16 + -40 14b = -16 + -40 Combine like terms: -16 + -40 = -56 14b = -56 Divide each side by '14'. b = -4 Simplifying b = -4
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