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Simplifying -8(8b + 5) = -6b + -4(6b + -7) Reorder the terms: -8(5 + 8b) = -6b + -4(6b + -7) (5 * -8 + 8b * -8) = -6b + -4(6b + -7) (-40 + -64b) = -6b + -4(6b + -7) Reorder the terms: -40 + -64b = -6b + -4(-7 + 6b) -40 + -64b = -6b + (-7 * -4 + 6b * -4) -40 + -64b = -6b + (28 + -24b) Reorder the terms: -40 + -64b = 28 + -6b + -24b Combine like terms: -6b + -24b = -30b -40 + -64b = 28 + -30b Solving -40 + -64b = 28 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. -40 + -64b + 30b = 28 + -30b + 30b Combine like terms: -64b + 30b = -34b -40 + -34b = 28 + -30b + 30b Combine like terms: -30b + 30b = 0 -40 + -34b = 28 + 0 -40 + -34b = 28 Add '40' to each side of the equation. -40 + 40 + -34b = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -34b = 28 + 40 -34b = 28 + 40 Combine like terms: 28 + 40 = 68 -34b = 68 Divide each side by '-34'. b = -2 Simplifying b = -2
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