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Simplifying 15b + -11 = 2(5b + 7) Reorder the terms: -11 + 15b = 2(5b + 7) Reorder the terms: -11 + 15b = 2(7 + 5b) -11 + 15b = (7 * 2 + 5b * 2) -11 + 15b = (14 + 10b) Solving -11 + 15b = 14 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -11 + 15b + -10b = 14 + 10b + -10b Combine like terms: 15b + -10b = 5b -11 + 5b = 14 + 10b + -10b Combine like terms: 10b + -10b = 0 -11 + 5b = 14 + 0 -11 + 5b = 14 Add '11' to each side of the equation. -11 + 11 + 5b = 14 + 11 Combine like terms: -11 + 11 = 0 0 + 5b = 14 + 11 5b = 14 + 11 Combine like terms: 14 + 11 = 25 5b = 25 Divide each side by '5'. b = 5 Simplifying b = 5
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