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Simplifying 1 = 3(b + 8) + -1(-1 + 6b) Reorder the terms: 1 = 3(8 + b) + -1(-1 + 6b) 1 = (8 * 3 + b * 3) + -1(-1 + 6b) 1 = (24 + 3b) + -1(-1 + 6b) 1 = 24 + 3b + (-1 * -1 + 6b * -1) 1 = 24 + 3b + (1 + -6b) Reorder the terms: 1 = 24 + 1 + 3b + -6b Combine like terms: 24 + 1 = 25 1 = 25 + 3b + -6b Combine like terms: 3b + -6b = -3b 1 = 25 + -3b Solving 1 = 25 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 1 + 3b = 25 + -3b + 3b Combine like terms: -3b + 3b = 0 1 + 3b = 25 + 0 1 + 3b = 25 Add '-1' to each side of the equation. 1 + -1 + 3b = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 25 + -1 3b = 25 + -1 Combine like terms: 25 + -1 = 24 3b = 24 Divide each side by '3'. b = 8 Simplifying b = 8
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