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Simplifying 5b + -23 = -2 + (1 + -3b) Reorder the terms: -23 + 5b = -2 + (1 + -3b) Remove parenthesis around (1 + -3b) -23 + 5b = -2 + 1 + -3b Combine like terms: -2 + 1 = -1 -23 + 5b = -1 + -3b Solving -23 + 5b = -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. -23 + 5b + 3b = -1 + -3b + 3b Combine like terms: 5b + 3b = 8b -23 + 8b = -1 + -3b + 3b Combine like terms: -3b + 3b = 0 -23 + 8b = -1 + 0 -23 + 8b = -1 Add '23' to each side of the equation. -23 + 23 + 8b = -1 + 23 Combine like terms: -23 + 23 = 0 0 + 8b = -1 + 23 8b = -1 + 23 Combine like terms: -1 + 23 = 22 8b = 22 Divide each side by '8'. b = 2.75 Simplifying b = 2.75
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