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Simplifying 11(b + -3) = 5(b + 3) Reorder the terms: 11(-3 + b) = 5(b + 3) (-3 * 11 + b * 11) = 5(b + 3) (-33 + 11b) = 5(b + 3) Reorder the terms: -33 + 11b = 5(3 + b) -33 + 11b = (3 * 5 + b * 5) -33 + 11b = (15 + 5b) Solving -33 + 11b = 15 + 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. -33 + 11b + -5b = 15 + 5b + -5b Combine like terms: 11b + -5b = 6b -33 + 6b = 15 + 5b + -5b Combine like terms: 5b + -5b = 0 -33 + 6b = 15 + 0 -33 + 6b = 15 Add '33' to each side of the equation. -33 + 33 + 6b = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 6b = 15 + 33 6b = 15 + 33 Combine like terms: 15 + 33 = 48 6b = 48 Divide each side by '6'. b = 8 Simplifying b = 8
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