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Simplifying 3(b + -8) = 2(b + 7) Reorder the terms: 3(-8 + b) = 2(b + 7) (-8 * 3 + b * 3) = 2(b + 7) (-24 + 3b) = 2(b + 7) Reorder the terms: -24 + 3b = 2(7 + b) -24 + 3b = (7 * 2 + b * 2) -24 + 3b = (14 + 2b) Solving -24 + 3b = 14 + 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 + 3b + -2b = 14 + 2b + -2b Combine like terms: 3b + -2b = 1b -24 + 1b = 14 + 2b + -2b Combine like terms: 2b + -2b = 0 -24 + 1b = 14 + 0 -24 + 1b = 14 Add '24' to each side of the equation. -24 + 24 + 1b = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 1b = 14 + 24 1b = 14 + 24 Combine like terms: 14 + 24 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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