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Simplifying 3b + -1 = 2b + 4 + -7 Reorder the terms: -1 + 3b = 2b + 4 + -7 Reorder the terms: -1 + 3b = 4 + -7 + 2b Combine like terms: 4 + -7 = -3 -1 + 3b = -3 + 2b Solving -1 + 3b = -3 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -1 + 3b + -2b = -3 + 2b + -2b Combine like terms: 3b + -2b = 1b -1 + 1b = -3 + 2b + -2b Combine like terms: 2b + -2b = 0 -1 + 1b = -3 + 0 -1 + 1b = -3 Add '1' to each side of the equation. -1 + 1 + 1b = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 1b = -3 + 1 1b = -3 + 1 Combine like terms: -3 + 1 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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