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Simplifying -3(-2 + -5b) + -4 = -30 + 7b (-2 * -3 + -5b * -3) + -4 = -30 + 7b (6 + 15b) + -4 = -30 + 7b Reorder the terms: 6 + -4 + 15b = -30 + 7b Combine like terms: 6 + -4 = 2 2 + 15b = -30 + 7b Solving 2 + 15b = -30 + 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. 2 + 15b + -7b = -30 + 7b + -7b Combine like terms: 15b + -7b = 8b 2 + 8b = -30 + 7b + -7b Combine like terms: 7b + -7b = 0 2 + 8b = -30 + 0 2 + 8b = -30 Add '-2' to each side of the equation. 2 + -2 + 8b = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 8b = -30 + -2 8b = -30 + -2 Combine like terms: -30 + -2 = -32 8b = -32 Divide each side by '8'. b = -4 Simplifying b = -4
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