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Simplifying -1(3b + 2) = -2(b + 4) Reorder the terms: -1(2 + 3b) = -2(b + 4) (2 * -1 + 3b * -1) = -2(b + 4) (-2 + -3b) = -2(b + 4) Reorder the terms: -2 + -3b = -2(4 + b) -2 + -3b = (4 * -2 + b * -2) -2 + -3b = (-8 + -2b) Solving -2 + -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. -2 + -3b + 2b = -8 + -2b + 2b Combine like terms: -3b + 2b = -1b -2 + -1b = -8 + -2b + 2b Combine like terms: -2b + 2b = 0 -2 + -1b = -8 + 0 -2 + -1b = -8 Add '2' to each side of the equation. -2 + 2 + -1b = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = -8 + 2 -1b = -8 + 2 Combine like terms: -8 + 2 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6
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