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Simplifying 6(b + 3) = 5(b + -8) Reorder the terms: 6(3 + b) = 5(b + -8) (3 * 6 + b * 6) = 5(b + -8) (18 + 6b) = 5(b + -8) Reorder the terms: 18 + 6b = 5(-8 + b) 18 + 6b = (-8 * 5 + b * 5) 18 + 6b = (-40 + 5b) Solving 18 + 6b = -40 + 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 + 6b + -5b = -40 + 5b + -5b Combine like terms: 6b + -5b = 1b 18 + 1b = -40 + 5b + -5b Combine like terms: 5b + -5b = 0 18 + 1b = -40 + 0 18 + 1b = -40 Add '-18' to each side of the equation. 18 + -18 + 1b = -40 + -18 Combine like terms: 18 + -18 = 0 0 + 1b = -40 + -18 1b = -40 + -18 Combine like terms: -40 + -18 = -58 1b = -58 Divide each side by '1'. b = -58 Simplifying b = -58
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