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Simplifying 2(b + 3) + -1(7 + b) = -3 Reorder the terms: 2(3 + b) + -1(7 + b) = -3 (3 * 2 + b * 2) + -1(7 + b) = -3 (6 + 2b) + -1(7 + b) = -3 6 + 2b + (7 * -1 + b * -1) = -3 6 + 2b + (-7 + -1b) = -3 Reorder the terms: 6 + -7 + 2b + -1b = -3 Combine like terms: 6 + -7 = -1 -1 + 2b + -1b = -3 Combine like terms: 2b + -1b = 1b -1 + 1b = -3 Solving -1 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. 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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