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Simplifying -8(b + -5) = -10b + 52 Reorder the terms: -8(-5 + b) = -10b + 52 (-5 * -8 + b * -8) = -10b + 52 (40 + -8b) = -10b + 52 Reorder the terms: 40 + -8b = 52 + -10b Solving 40 + -8b = 52 + -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 + -8b + 10b = 52 + -10b + 10b Combine like terms: -8b + 10b = 2b 40 + 2b = 52 + -10b + 10b Combine like terms: -10b + 10b = 0 40 + 2b = 52 + 0 40 + 2b = 52 Add '-40' to each side of the equation. 40 + -40 + 2b = 52 + -40 Combine like terms: 40 + -40 = 0 0 + 2b = 52 + -40 2b = 52 + -40 Combine like terms: 52 + -40 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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