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Simplifying 3(b + -4) = 2(b + 2) Reorder the terms: 3(-4 + b) = 2(b + 2) (-4 * 3 + b * 3) = 2(b + 2) (-12 + 3b) = 2(b + 2) Reorder the terms: -12 + 3b = 2(2 + b) -12 + 3b = (2 * 2 + b * 2) -12 + 3b = (4 + 2b) Solving -12 + 3b = 4 + 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 = 4 + 2b + -2b Combine like terms: 3b + -2b = 1b -12 + 1b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 -12 + 1b = 4 + 0 -12 + 1b = 4 Add '12' to each side of the equation. -12 + 12 + 1b = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = 4 + 12 1b = 4 + 12 Combine like terms: 4 + 12 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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