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Simplifying 2(3b + -4) = 1b + 2 Reorder the terms: 2(-4 + 3b) = 1b + 2 (-4 * 2 + 3b * 2) = 1b + 2 (-8 + 6b) = 1b + 2 Reorder the terms: -8 + 6b = 2 + 1b Solving -8 + 6b = 2 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -8 + 6b + -1b = 2 + 1b + -1b Combine like terms: 6b + -1b = 5b -8 + 5b = 2 + 1b + -1b Combine like terms: 1b + -1b = 0 -8 + 5b = 2 + 0 -8 + 5b = 2 Add '8' to each side of the equation. -8 + 8 + 5b = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5b = 2 + 8 5b = 2 + 8 Combine like terms: 2 + 8 = 10 5b = 10 Divide each side by '5'. b = 2 Simplifying b = 2
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