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Simplifying 69 = b + (b + -5) + 2(b + -5) Reorder the terms: 69 = b + (-5 + b) + 2(b + -5) Remove parenthesis around (-5 + b) 69 = b + -5 + b + 2(b + -5) Reorder the terms: 69 = b + -5 + b + 2(-5 + b) 69 = b + -5 + b + (-5 * 2 + b * 2) 69 = b + -5 + b + (-10 + 2b) Reorder the terms: 69 = -5 + -10 + b + b + 2b Combine like terms: -5 + -10 = -15 69 = -15 + b + b + 2b Combine like terms: b + b = 2b 69 = -15 + 2b + 2b Combine like terms: 2b + 2b = 4b 69 = -15 + 4b Solving 69 = -15 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 69 + -4b = -15 + 4b + -4b Combine like terms: 4b + -4b = 0 69 + -4b = -15 + 0 69 + -4b = -15 Add '-69' to each side of the equation. 69 + -69 + -4b = -15 + -69 Combine like terms: 69 + -69 = 0 0 + -4b = -15 + -69 -4b = -15 + -69 Combine like terms: -15 + -69 = -84 -4b = -84 Divide each side by '-4'. b = 21 Simplifying b = 21
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