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Simplifying -8(b + -5) = -2(b + 1) Reorder the terms: -8(-5 + b) = -2(b + 1) (-5 * -8 + b * -8) = -2(b + 1) (40 + -8b) = -2(b + 1) Reorder the terms: 40 + -8b = -2(1 + b) 40 + -8b = (1 * -2 + b * -2) 40 + -8b = (-2 + -2b) Solving 40 + -8b = -2 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 40 + -8b + 2b = -2 + -2b + 2b Combine like terms: -8b + 2b = -6b 40 + -6b = -2 + -2b + 2b Combine like terms: -2b + 2b = 0 40 + -6b = -2 + 0 40 + -6b = -2 Add '-40' to each side of the equation. 40 + -40 + -6b = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -6b = -2 + -40 -6b = -2 + -40 Combine like terms: -2 + -40 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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