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