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Simplifying -2b + 40 = -2(5b + -4) Reorder the terms: 40 + -2b = -2(5b + -4) Reorder the terms: 40 + -2b = -2(-4 + 5b) 40 + -2b = (-4 * -2 + 5b * -2) 40 + -2b = (8 + -10b) Solving 40 + -2b = 8 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 40 + -2b + 10b = 8 + -10b + 10b Combine like terms: -2b + 10b = 8b 40 + 8b = 8 + -10b + 10b Combine like terms: -10b + 10b = 0 40 + 8b = 8 + 0 40 + 8b = 8 Add '-40' to each side of the equation. 40 + -40 + 8b = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 8b = 8 + -40 8b = 8 + -40 Combine like terms: 8 + -40 = -32 8b = -32 Divide each side by '8'. b = -4 Simplifying b = -4
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