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Simplifying 10b + 3 + -5b = 3 + -5(b + 4) Reorder the terms: 3 + 10b + -5b = 3 + -5(b + 4) Combine like terms: 10b + -5b = 5b 3 + 5b = 3 + -5(b + 4) Reorder the terms: 3 + 5b = 3 + -5(4 + b) 3 + 5b = 3 + (4 * -5 + b * -5) 3 + 5b = 3 + (-20 + -5b) Combine like terms: 3 + -20 = -17 3 + 5b = -17 + -5b Solving 3 + 5b = -17 + -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. 3 + 5b + 5b = -17 + -5b + 5b Combine like terms: 5b + 5b = 10b 3 + 10b = -17 + -5b + 5b Combine like terms: -5b + 5b = 0 3 + 10b = -17 + 0 3 + 10b = -17 Add '-3' to each side of the equation. 3 + -3 + 10b = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 10b = -17 + -3 10b = -17 + -3 Combine like terms: -17 + -3 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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