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Simplifying 3(b + -8) = 4 + 7(b) Reorder the terms: 3(-8 + b) = 4 + 7(b) (-8 * 3 + b * 3) = 4 + 7(b) (-24 + 3b) = 4 + 7(b) Solving -24 + 3b = 4 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -24 + 3b + -7b = 4 + 7b + -7b Combine like terms: 3b + -7b = -4b -24 + -4b = 4 + 7b + -7b Combine like terms: 7b + -7b = 0 -24 + -4b = 4 + 0 -24 + -4b = 4 Add '24' to each side of the equation. -24 + 24 + -4b = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -4b = 4 + 24 -4b = 4 + 24 Combine like terms: 4 + 24 = 28 -4b = 28 Divide each side by '-4'. b = -7 Simplifying b = -7
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