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Simplifying -4(2 + 3b) = 8 + -4b (2 * -4 + 3b * -4) = 8 + -4b (-8 + -12b) = 8 + -4b Solving -8 + -12b = 8 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -8 + -12b + 4b = 8 + -4b + 4b Combine like terms: -12b + 4b = -8b -8 + -8b = 8 + -4b + 4b Combine like terms: -4b + 4b = 0 -8 + -8b = 8 + 0 -8 + -8b = 8 Add '8' to each side of the equation. -8 + 8 + -8b = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8b = 8 + 8 -8b = 8 + 8 Combine like terms: 8 + 8 = 16 -8b = 16 Divide each side by '-8'. b = -2 Simplifying b = -2
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