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Simplifying 4b + 2(3b + -5) = 2b + 6 Reorder the terms: 4b + 2(-5 + 3b) = 2b + 6 4b + (-5 * 2 + 3b * 2) = 2b + 6 4b + (-10 + 6b) = 2b + 6 Reorder the terms: -10 + 4b + 6b = 2b + 6 Combine like terms: 4b + 6b = 10b -10 + 10b = 2b + 6 Reorder the terms: -10 + 10b = 6 + 2b Solving -10 + 10b = 6 + 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. -10 + 10b + -2b = 6 + 2b + -2b Combine like terms: 10b + -2b = 8b -10 + 8b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -10 + 8b = 6 + 0 -10 + 8b = 6 Add '10' to each side of the equation. -10 + 10 + 8b = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8b = 6 + 10 8b = 6 + 10 Combine like terms: 6 + 10 = 16 8b = 16 Divide each side by '8'. b = 2 Simplifying b = 2
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