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Simplifying -3(8 + 3b) = -2b + 18 (8 * -3 + 3b * -3) = -2b + 18 (-24 + -9b) = -2b + 18 Reorder the terms: -24 + -9b = 18 + -2b Solving -24 + -9b = 18 + -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. -24 + -9b + 2b = 18 + -2b + 2b Combine like terms: -9b + 2b = -7b -24 + -7b = 18 + -2b + 2b Combine like terms: -2b + 2b = 0 -24 + -7b = 18 + 0 -24 + -7b = 18 Add '24' to each side of the equation. -24 + 24 + -7b = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -7b = 18 + 24 -7b = 18 + 24 Combine like terms: 18 + 24 = 42 -7b = 42 Divide each side by '-7'. b = -6 Simplifying b = -6
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