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Simplifying 5(7b + -4) = -1b + -4(b + 5) Reorder the terms: 5(-4 + 7b) = -1b + -4(b + 5) (-4 * 5 + 7b * 5) = -1b + -4(b + 5) (-20 + 35b) = -1b + -4(b + 5) Reorder the terms: -20 + 35b = -1b + -4(5 + b) -20 + 35b = -1b + (5 * -4 + b * -4) -20 + 35b = -1b + (-20 + -4b) Reorder the terms: -20 + 35b = -20 + -1b + -4b Combine like terms: -1b + -4b = -5b -20 + 35b = -20 + -5b Add '20' to each side of the equation. -20 + 20 + 35b = -20 + 20 + -5b Combine like terms: -20 + 20 = 0 0 + 35b = -20 + 20 + -5b 35b = -20 + 20 + -5b Combine like terms: -20 + 20 = 0 35b = 0 + -5b 35b = -5b Solving 35b = -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 35b + 5b = -5b + 5b Combine like terms: 35b + 5b = 40b 40b = -5b + 5b Combine like terms: -5b + 5b = 0 40b = 0 Divide each side by '40'. b = 0.0 Simplifying b = 0.0
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