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Simplifying 5b + -7 = 1 + -3b Reorder the terms: -7 + 5b = 1 + -3b Solving -7 + 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. -7 + 5b + 3b = 1 + -3b + 3b Combine like terms: 5b + 3b = 8b -7 + 8b = 1 + -3b + 3b Combine like terms: -3b + 3b = 0 -7 + 8b = 1 + 0 -7 + 8b = 1 Add '7' to each side of the equation. -7 + 7 + 8b = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 8b = 1 + 7 8b = 1 + 7 Combine like terms: 1 + 7 = 8 8b = 8 Divide each side by '8'. b = 1 Simplifying b = 1
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