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Simplifying 6b + 5(-1b + -1) = -2(b + 1) Reorder the terms: 6b + 5(-1 + -1b) = -2(b + 1) 6b + (-1 * 5 + -1b * 5) = -2(b + 1) 6b + (-5 + -5b) = -2(b + 1) Reorder the terms: -5 + 6b + -5b = -2(b + 1) Combine like terms: 6b + -5b = 1b -5 + 1b = -2(b + 1) Reorder the terms: -5 + 1b = -2(1 + b) -5 + 1b = (1 * -2 + b * -2) -5 + 1b = (-2 + -2b) Solving -5 + 1b = -2 + -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. -5 + 1b + 2b = -2 + -2b + 2b Combine like terms: 1b + 2b = 3b -5 + 3b = -2 + -2b + 2b Combine like terms: -2b + 2b = 0 -5 + 3b = -2 + 0 -5 + 3b = -2 Add '5' to each side of the equation. -5 + 5 + 3b = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3b = -2 + 5 3b = -2 + 5 Combine like terms: -2 + 5 = 3 3b = 3 Divide each side by '3'. b = 1 Simplifying b = 1
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