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Simplifying -5(b + 11) = 5(5 + b) Reorder the terms: -5(11 + b) = 5(5 + b) (11 * -5 + b * -5) = 5(5 + b) (-55 + -5b) = 5(5 + b) -55 + -5b = (5 * 5 + b * 5) -55 + -5b = (25 + 5b) Solving -55 + -5b = 25 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -55 + -5b + -5b = 25 + 5b + -5b Combine like terms: -5b + -5b = -10b -55 + -10b = 25 + 5b + -5b Combine like terms: 5b + -5b = 0 -55 + -10b = 25 + 0 -55 + -10b = 25 Add '55' to each side of the equation. -55 + 55 + -10b = 25 + 55 Combine like terms: -55 + 55 = 0 0 + -10b = 25 + 55 -10b = 25 + 55 Combine like terms: 25 + 55 = 80 -10b = 80 Divide each side by '-10'. b = -8 Simplifying b = -8
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