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Simplifying 2(b + -1) + 3(-1) = -7 Reorder the terms: 2(-1 + b) + 3(-1) = -7 (-1 * 2 + b * 2) + 3(-1) = -7 (-2 + 2b) + 3(-1) = -7 Multiply 3 * -1 -2 + 2b + -3 = -7 Reorder the terms: -2 + -3 + 2b = -7 Combine like terms: -2 + -3 = -5 -5 + 2b = -7 Solving -5 + 2b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2b = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = -7 + 5 2b = -7 + 5 Combine like terms: -7 + 5 = -2 2b = -2 Divide each side by '2'. b = -1 Simplifying b = -1
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