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Simplifying 51 = -2(b + 1) + -5(b + -5) Reorder the terms: 51 = -2(1 + b) + -5(b + -5) 51 = (1 * -2 + b * -2) + -5(b + -5) 51 = (-2 + -2b) + -5(b + -5) Reorder the terms: 51 = -2 + -2b + -5(-5 + b) 51 = -2 + -2b + (-5 * -5 + b * -5) 51 = -2 + -2b + (25 + -5b) Reorder the terms: 51 = -2 + 25 + -2b + -5b Combine like terms: -2 + 25 = 23 51 = 23 + -2b + -5b Combine like terms: -2b + -5b = -7b 51 = 23 + -7b Solving 51 = 23 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 51 + 7b = 23 + -7b + 7b Combine like terms: -7b + 7b = 0 51 + 7b = 23 + 0 51 + 7b = 23 Add '-51' to each side of the equation. 51 + -51 + 7b = 23 + -51 Combine like terms: 51 + -51 = 0 0 + 7b = 23 + -51 7b = 23 + -51 Combine like terms: 23 + -51 = -28 7b = -28 Divide each side by '7'. b = -4 Simplifying b = -4
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