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Simplifying 5(2b + -3) = 2(b + 7) + 11 Reorder the terms: 5(-3 + 2b) = 2(b + 7) + 11 (-3 * 5 + 2b * 5) = 2(b + 7) + 11 (-15 + 10b) = 2(b + 7) + 11 Reorder the terms: -15 + 10b = 2(7 + b) + 11 -15 + 10b = (7 * 2 + b * 2) + 11 -15 + 10b = (14 + 2b) + 11 Reorder the terms: -15 + 10b = 14 + 11 + 2b Combine like terms: 14 + 11 = 25 -15 + 10b = 25 + 2b Solving -15 + 10b = 25 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -15 + 10b + -2b = 25 + 2b + -2b Combine like terms: 10b + -2b = 8b -15 + 8b = 25 + 2b + -2b Combine like terms: 2b + -2b = 0 -15 + 8b = 25 + 0 -15 + 8b = 25 Add '15' to each side of the equation. -15 + 15 + 8b = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 8b = 25 + 15 8b = 25 + 15 Combine like terms: 25 + 15 = 40 8b = 40 Divide each side by '8'. b = 5 Simplifying b = 5
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