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Simplifying -3(8b + 3) = -35 + 2b Reorder the terms: -3(3 + 8b) = -35 + 2b (3 * -3 + 8b * -3) = -35 + 2b (-9 + -24b) = -35 + 2b Solving -9 + -24b = -35 + 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. -9 + -24b + -2b = -35 + 2b + -2b Combine like terms: -24b + -2b = -26b -9 + -26b = -35 + 2b + -2b Combine like terms: 2b + -2b = 0 -9 + -26b = -35 + 0 -9 + -26b = -35 Add '9' to each side of the equation. -9 + 9 + -26b = -35 + 9 Combine like terms: -9 + 9 = 0 0 + -26b = -35 + 9 -26b = -35 + 9 Combine like terms: -35 + 9 = -26 -26b = -26 Divide each side by '-26'. b = 1 Simplifying b = 1
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