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