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Simplifying 2(3b + -2) = 3b + 5 Reorder the terms: 2(-2 + 3b) = 3b + 5 (-2 * 2 + 3b * 2) = 3b + 5 (-4 + 6b) = 3b + 5 Reorder the terms: -4 + 6b = 5 + 3b Solving -4 + 6b = 5 + 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. -4 + 6b + -3b = 5 + 3b + -3b Combine like terms: 6b + -3b = 3b -4 + 3b = 5 + 3b + -3b Combine like terms: 3b + -3b = 0 -4 + 3b = 5 + 0 -4 + 3b = 5 Add '4' to each side of the equation. -4 + 4 + 3b = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 5 + 4 3b = 5 + 4 Combine like terms: 5 + 4 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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