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Simplifying -8(5 + 6b) = 15 + 7b (5 * -8 + 6b * -8) = 15 + 7b (-40 + -48b) = 15 + 7b Solving -40 + -48b = 15 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -40 + -48b + -7b = 15 + 7b + -7b Combine like terms: -48b + -7b = -55b -40 + -55b = 15 + 7b + -7b Combine like terms: 7b + -7b = 0 -40 + -55b = 15 + 0 -40 + -55b = 15 Add '40' to each side of the equation. -40 + 40 + -55b = 15 + 40 Combine like terms: -40 + 40 = 0 0 + -55b = 15 + 40 -55b = 15 + 40 Combine like terms: 15 + 40 = 55 -55b = 55 Divide each side by '-55'. b = -1 Simplifying b = -1
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