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Simplifying 3(b + 6) = 5(b + -1) Reorder the terms: 3(6 + b) = 5(b + -1) (6 * 3 + b * 3) = 5(b + -1) (18 + 3b) = 5(b + -1) Reorder the terms: 18 + 3b = 5(-1 + b) 18 + 3b = (-1 * 5 + b * 5) 18 + 3b = (-5 + 5b) Solving 18 + 3b = -5 + 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. 18 + 3b + -5b = -5 + 5b + -5b Combine like terms: 3b + -5b = -2b 18 + -2b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 18 + -2b = -5 + 0 18 + -2b = -5 Add '-18' to each side of the equation. 18 + -18 + -2b = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -2b = -5 + -18 -2b = -5 + -18 Combine like terms: -5 + -18 = -23 -2b = -23 Divide each side by '-2'. b = 11.5 Simplifying b = 11.5
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