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Simplifying 3(-5b + -1) = 46 + -8b Reorder the terms: 3(-1 + -5b) = 46 + -8b (-1 * 3 + -5b * 3) = 46 + -8b (-3 + -15b) = 46 + -8b Solving -3 + -15b = 46 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -3 + -15b + 8b = 46 + -8b + 8b Combine like terms: -15b + 8b = -7b -3 + -7b = 46 + -8b + 8b Combine like terms: -8b + 8b = 0 -3 + -7b = 46 + 0 -3 + -7b = 46 Add '3' to each side of the equation. -3 + 3 + -7b = 46 + 3 Combine like terms: -3 + 3 = 0 0 + -7b = 46 + 3 -7b = 46 + 3 Combine like terms: 46 + 3 = 49 -7b = 49 Divide each side by '-7'. b = -7 Simplifying b = -7
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