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Simplifying -7(40 + 5b) = -5(78 + 5b) (40 * -7 + 5b * -7) = -5(78 + 5b) (-280 + -35b) = -5(78 + 5b) -280 + -35b = (78 * -5 + 5b * -5) -280 + -35b = (-390 + -25b) Solving -280 + -35b = -390 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. -280 + -35b + 25b = -390 + -25b + 25b Combine like terms: -35b + 25b = -10b -280 + -10b = -390 + -25b + 25b Combine like terms: -25b + 25b = 0 -280 + -10b = -390 + 0 -280 + -10b = -390 Add '280' to each side of the equation. -280 + 280 + -10b = -390 + 280 Combine like terms: -280 + 280 = 0 0 + -10b = -390 + 280 -10b = -390 + 280 Combine like terms: -390 + 280 = -110 -10b = -110 Divide each side by '-10'. b = 11 Simplifying b = 11
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