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Simplifying -5(b + 1) + -1(6 + -3b) = -5 Reorder the terms: -5(1 + b) + -1(6 + -3b) = -5 (1 * -5 + b * -5) + -1(6 + -3b) = -5 (-5 + -5b) + -1(6 + -3b) = -5 -5 + -5b + (6 * -1 + -3b * -1) = -5 -5 + -5b + (-6 + 3b) = -5 Reorder the terms: -5 + -6 + -5b + 3b = -5 Combine like terms: -5 + -6 = -11 -11 + -5b + 3b = -5 Combine like terms: -5b + 3b = -2b -11 + -2b = -5 Solving -11 + -2b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2b = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -2b = -5 + 11 -2b = -5 + 11 Combine like terms: -5 + 11 = 6 -2b = 6 Divide each side by '-2'. b = -3 Simplifying b = -3
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