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Simplifying 5(b + -2) = 3(b + 6) Reorder the terms: 5(-2 + b) = 3(b + 6) (-2 * 5 + b * 5) = 3(b + 6) (-10 + 5b) = 3(b + 6) Reorder the terms: -10 + 5b = 3(6 + b) -10 + 5b = (6 * 3 + b * 3) -10 + 5b = (18 + 3b) Solving -10 + 5b = 18 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -10 + 5b + -3b = 18 + 3b + -3b Combine like terms: 5b + -3b = 2b -10 + 2b = 18 + 3b + -3b Combine like terms: 3b + -3b = 0 -10 + 2b = 18 + 0 -10 + 2b = 18 Add '10' to each side of the equation. -10 + 10 + 2b = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 2b = 18 + 10 2b = 18 + 10 Combine like terms: 18 + 10 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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