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Simplifying 6b + 3(b + -8) = -6b + -9 Reorder the terms: 6b + 3(-8 + b) = -6b + -9 6b + (-8 * 3 + b * 3) = -6b + -9 6b + (-24 + 3b) = -6b + -9 Reorder the terms: -24 + 6b + 3b = -6b + -9 Combine like terms: 6b + 3b = 9b -24 + 9b = -6b + -9 Reorder the terms: -24 + 9b = -9 + -6b Solving -24 + 9b = -9 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -24 + 9b + 6b = -9 + -6b + 6b Combine like terms: 9b + 6b = 15b -24 + 15b = -9 + -6b + 6b Combine like terms: -6b + 6b = 0 -24 + 15b = -9 + 0 -24 + 15b = -9 Add '24' to each side of the equation. -24 + 24 + 15b = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 15b = -9 + 24 15b = -9 + 24 Combine like terms: -9 + 24 = 15 15b = 15 Divide each side by '15'. b = 1 Simplifying b = 1
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