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Simplifying 8(b + 5) = 4(b + -2) Reorder the terms: 8(5 + b) = 4(b + -2) (5 * 8 + b * 8) = 4(b + -2) (40 + 8b) = 4(b + -2) Reorder the terms: 40 + 8b = 4(-2 + b) 40 + 8b = (-2 * 4 + b * 4) 40 + 8b = (-8 + 4b) Solving 40 + 8b = -8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 40 + 8b + -4b = -8 + 4b + -4b Combine like terms: 8b + -4b = 4b 40 + 4b = -8 + 4b + -4b Combine like terms: 4b + -4b = 0 40 + 4b = -8 + 0 40 + 4b = -8 Add '-40' to each side of the equation. 40 + -40 + 4b = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 4b = -8 + -40 4b = -8 + -40 Combine like terms: -8 + -40 = -48 4b = -48 Divide each side by '4'. b = -12 Simplifying b = -12
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