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Simplifying 8(6b + 7) = -30 + 5b Reorder the terms: 8(7 + 6b) = -30 + 5b (7 * 8 + 6b * 8) = -30 + 5b (56 + 48b) = -30 + 5b Solving 56 + 48b = -30 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 56 + 48b + -5b = -30 + 5b + -5b Combine like terms: 48b + -5b = 43b 56 + 43b = -30 + 5b + -5b Combine like terms: 5b + -5b = 0 56 + 43b = -30 + 0 56 + 43b = -30 Add '-56' to each side of the equation. 56 + -56 + 43b = -30 + -56 Combine like terms: 56 + -56 = 0 0 + 43b = -30 + -56 43b = -30 + -56 Combine like terms: -30 + -56 = -86 43b = -86 Divide each side by '43'. b = -2 Simplifying b = -2
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