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Simplifying -5(8 + -7b) = 5(6 + -7b) (8 * -5 + -7b * -5) = 5(6 + -7b) (-40 + 35b) = 5(6 + -7b) -40 + 35b = (6 * 5 + -7b * 5) -40 + 35b = (30 + -35b) Solving -40 + 35b = 30 + -35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35b' to each side of the equation. -40 + 35b + 35b = 30 + -35b + 35b Combine like terms: 35b + 35b = 70b -40 + 70b = 30 + -35b + 35b Combine like terms: -35b + 35b = 0 -40 + 70b = 30 + 0 -40 + 70b = 30 Add '40' to each side of the equation. -40 + 40 + 70b = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 70b = 30 + 40 70b = 30 + 40 Combine like terms: 30 + 40 = 70 70b = 70 Divide each side by '70'. b = 1 Simplifying b = 1
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