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Simplifying 2b + -5(b + 1) = 3b + 1 Reorder the terms: 2b + -5(1 + b) = 3b + 1 2b + (1 * -5 + b * -5) = 3b + 1 2b + (-5 + -5b) = 3b + 1 Reorder the terms: -5 + 2b + -5b = 3b + 1 Combine like terms: 2b + -5b = -3b -5 + -3b = 3b + 1 Reorder the terms: -5 + -3b = 1 + 3b Solving -5 + -3b = 1 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -5 + -3b + -3b = 1 + 3b + -3b Combine like terms: -3b + -3b = -6b -5 + -6b = 1 + 3b + -3b Combine like terms: 3b + -3b = 0 -5 + -6b = 1 + 0 -5 + -6b = 1 Add '5' to each side of the equation. -5 + 5 + -6b = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6b = 1 + 5 -6b = 1 + 5 Combine like terms: 1 + 5 = 6 -6b = 6 Divide each side by '-6'. b = -1 Simplifying b = -1
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