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Simplifying 3(b + -4) = 2(4 + -1b) Reorder the terms: 3(-4 + b) = 2(4 + -1b) (-4 * 3 + b * 3) = 2(4 + -1b) (-12 + 3b) = 2(4 + -1b) -12 + 3b = (4 * 2 + -1b * 2) -12 + 3b = (8 + -2b) Solving -12 + 3b = 8 + -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. -12 + 3b + 2b = 8 + -2b + 2b Combine like terms: 3b + 2b = 5b -12 + 5b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 -12 + 5b = 8 + 0 -12 + 5b = 8 Add '12' to each side of the equation. -12 + 12 + 5b = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5b = 8 + 12 5b = 8 + 12 Combine like terms: 8 + 12 = 20 5b = 20 Divide each side by '5'. b = 4 Simplifying b = 4
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