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Simplifying 101 = -3b + -5(7b + -5) Reorder the terms: 101 = -3b + -5(-5 + 7b) 101 = -3b + (-5 * -5 + 7b * -5) 101 = -3b + (25 + -35b) Reorder the terms: 101 = 25 + -3b + -35b Combine like terms: -3b + -35b = -38b 101 = 25 + -38b Solving 101 = 25 + -38b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38b' to each side of the equation. 101 + 38b = 25 + -38b + 38b Combine like terms: -38b + 38b = 0 101 + 38b = 25 + 0 101 + 38b = 25 Add '-101' to each side of the equation. 101 + -101 + 38b = 25 + -101 Combine like terms: 101 + -101 = 0 0 + 38b = 25 + -101 38b = 25 + -101 Combine like terms: 25 + -101 = -76 38b = -76 Divide each side by '38'. b = -2 Simplifying b = -2
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