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Simplifying 3(2b + -4) = 5(b + 2) Reorder the terms: 3(-4 + 2b) = 5(b + 2) (-4 * 3 + 2b * 3) = 5(b + 2) (-12 + 6b) = 5(b + 2) Reorder the terms: -12 + 6b = 5(2 + b) -12 + 6b = (2 * 5 + b * 5) -12 + 6b = (10 + 5b) Solving -12 + 6b = 10 + 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. -12 + 6b + -5b = 10 + 5b + -5b Combine like terms: 6b + -5b = 1b -12 + 1b = 10 + 5b + -5b Combine like terms: 5b + -5b = 0 -12 + 1b = 10 + 0 -12 + 1b = 10 Add '12' to each side of the equation. -12 + 12 + 1b = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = 10 + 12 1b = 10 + 12 Combine like terms: 10 + 12 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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