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Simplifying -64 = -8(b + 5) + -8(6b + 3) Reorder the terms: -64 = -8(5 + b) + -8(6b + 3) -64 = (5 * -8 + b * -8) + -8(6b + 3) -64 = (-40 + -8b) + -8(6b + 3) Reorder the terms: -64 = -40 + -8b + -8(3 + 6b) -64 = -40 + -8b + (3 * -8 + 6b * -8) -64 = -40 + -8b + (-24 + -48b) Reorder the terms: -64 = -40 + -24 + -8b + -48b Combine like terms: -40 + -24 = -64 -64 = -64 + -8b + -48b Combine like terms: -8b + -48b = -56b -64 = -64 + -56b Add '64' to each side of the equation. -64 + 64 = -64 + 64 + -56b Combine like terms: -64 + 64 = 0 0 = -64 + 64 + -56b Combine like terms: -64 + 64 = 0 0 = 0 + -56b 0 = -56b Solving 0 = -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. 0 + 56b = -56b + 56b Remove the zero: 56b = -56b + 56b Combine like terms: -56b + 56b = 0 56b = 0 Divide each side by '56'. b = 0 Simplifying b = 0
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