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Simplifying -3(b + 8) = -3(5b + -4) Reorder the terms: -3(8 + b) = -3(5b + -4) (8 * -3 + b * -3) = -3(5b + -4) (-24 + -3b) = -3(5b + -4) Reorder the terms: -24 + -3b = -3(-4 + 5b) -24 + -3b = (-4 * -3 + 5b * -3) -24 + -3b = (12 + -15b) Solving -24 + -3b = 12 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -24 + -3b + 15b = 12 + -15b + 15b Combine like terms: -3b + 15b = 12b -24 + 12b = 12 + -15b + 15b Combine like terms: -15b + 15b = 0 -24 + 12b = 12 + 0 -24 + 12b = 12 Add '24' to each side of the equation. -24 + 24 + 12b = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 12b = 12 + 24 12b = 12 + 24 Combine like terms: 12 + 24 = 36 12b = 36 Divide each side by '12'. b = 3 Simplifying b = 3
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