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Simplifying 5b + -13 = 3b + 1 Reorder the terms: -13 + 5b = 3b + 1 Reorder the terms: -13 + 5b = 1 + 3b Solving -13 + 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. -13 + 5b + -3b = 1 + 3b + -3b Combine like terms: 5b + -3b = 2b -13 + 2b = 1 + 3b + -3b Combine like terms: 3b + -3b = 0 -13 + 2b = 1 + 0 -13 + 2b = 1 Add '13' to each side of the equation. -13 + 13 + 2b = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2b = 1 + 13 2b = 1 + 13 Combine like terms: 1 + 13 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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