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Simplifying -71 = 2(12 + 5b) + 5(1 + 3b) -71 = (12 * 2 + 5b * 2) + 5(1 + 3b) -71 = (24 + 10b) + 5(1 + 3b) -71 = 24 + 10b + (1 * 5 + 3b * 5) -71 = 24 + 10b + (5 + 15b) Reorder the terms: -71 = 24 + 5 + 10b + 15b Combine like terms: 24 + 5 = 29 -71 = 29 + 10b + 15b Combine like terms: 10b + 15b = 25b -71 = 29 + 25b Solving -71 = 29 + 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. -71 + -25b = 29 + 25b + -25b Combine like terms: 25b + -25b = 0 -71 + -25b = 29 + 0 -71 + -25b = 29 Add '71' to each side of the equation. -71 + 71 + -25b = 29 + 71 Combine like terms: -71 + 71 = 0 0 + -25b = 29 + 71 -25b = 29 + 71 Combine like terms: 29 + 71 = 100 -25b = 100 Divide each side by '-25'. b = -4 Simplifying b = -4
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