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Simplifying -3(6 + -5b) = 7b + 14 (6 * -3 + -5b * -3) = 7b + 14 (-18 + 15b) = 7b + 14 Reorder the terms: -18 + 15b = 14 + 7b Solving -18 + 15b = 14 + 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. -18 + 15b + -7b = 14 + 7b + -7b Combine like terms: 15b + -7b = 8b -18 + 8b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 -18 + 8b = 14 + 0 -18 + 8b = 14 Add '18' to each side of the equation. -18 + 18 + 8b = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 8b = 14 + 18 8b = 14 + 18 Combine like terms: 14 + 18 = 32 8b = 32 Divide each side by '8'. b = 4 Simplifying b = 4
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