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Simplifying 3(b + -5) = 1 + -1b Reorder the terms: 3(-5 + b) = 1 + -1b (-5 * 3 + b * 3) = 1 + -1b (-15 + 3b) = 1 + -1b Solving -15 + 3b = 1 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -15 + 3b + b = 1 + -1b + b Combine like terms: 3b + b = 4b -15 + 4b = 1 + -1b + b Combine like terms: -1b + b = 0 -15 + 4b = 1 + 0 -15 + 4b = 1 Add '15' to each side of the equation. -15 + 15 + 4b = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4b = 1 + 15 4b = 1 + 15 Combine like terms: 1 + 15 = 16 4b = 16 Divide each side by '4'. b = 4 Simplifying b = 4
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