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Simplifying 5b + -5(b + -4) = 13 + -7b Reorder the terms: 5b + -5(-4 + b) = 13 + -7b 5b + (-4 * -5 + b * -5) = 13 + -7b 5b + (20 + -5b) = 13 + -7b Reorder the terms: 20 + 5b + -5b = 13 + -7b Combine like terms: 5b + -5b = 0 20 + 0 = 13 + -7b 20 = 13 + -7b Solving 20 = 13 + -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. 20 + 7b = 13 + -7b + 7b Combine like terms: -7b + 7b = 0 20 + 7b = 13 + 0 20 + 7b = 13 Add '-20' to each side of the equation. 20 + -20 + 7b = 13 + -20 Combine like terms: 20 + -20 = 0 0 + 7b = 13 + -20 7b = 13 + -20 Combine like terms: 13 + -20 = -7 7b = -7 Divide each side by '7'. b = -1 Simplifying b = -1
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