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Simplifying 6b + 3(6 + -4b) = -8(8b + 5) 6b + (6 * 3 + -4b * 3) = -8(8b + 5) 6b + (18 + -12b) = -8(8b + 5) Reorder the terms: 18 + 6b + -12b = -8(8b + 5) Combine like terms: 6b + -12b = -6b 18 + -6b = -8(8b + 5) Reorder the terms: 18 + -6b = -8(5 + 8b) 18 + -6b = (5 * -8 + 8b * -8) 18 + -6b = (-40 + -64b) Solving 18 + -6b = -40 + -64b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '64b' to each side of the equation. 18 + -6b + 64b = -40 + -64b + 64b Combine like terms: -6b + 64b = 58b 18 + 58b = -40 + -64b + 64b Combine like terms: -64b + 64b = 0 18 + 58b = -40 + 0 18 + 58b = -40 Add '-18' to each side of the equation. 18 + -18 + 58b = -40 + -18 Combine like terms: 18 + -18 = 0 0 + 58b = -40 + -18 58b = -40 + -18 Combine like terms: -40 + -18 = -58 58b = -58 Divide each side by '58'. b = -1 Simplifying b = -1
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