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Simplifying 2(3b + -4) = 5b + 3 Reorder the terms: 2(-4 + 3b) = 5b + 3 (-4 * 2 + 3b * 2) = 5b + 3 (-8 + 6b) = 5b + 3 Reorder the terms: -8 + 6b = 3 + 5b Solving -8 + 6b = 3 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -8 + 6b + -5b = 3 + 5b + -5b Combine like terms: 6b + -5b = 1b -8 + 1b = 3 + 5b + -5b Combine like terms: 5b + -5b = 0 -8 + 1b = 3 + 0 -8 + 1b = 3 Add '8' to each side of the equation. -8 + 8 + 1b = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 3 + 8 1b = 3 + 8 Combine like terms: 3 + 8 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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