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Simplifying -3(b + -8) + -5 = 9(b + 2 + 2) + 1 Reorder the terms: -3(-8 + b) + -5 = 9(b + 2 + 2) + 1 (-8 * -3 + b * -3) + -5 = 9(b + 2 + 2) + 1 (24 + -3b) + -5 = 9(b + 2 + 2) + 1 Reorder the terms: 24 + -5 + -3b = 9(b + 2 + 2) + 1 Combine like terms: 24 + -5 = 19 19 + -3b = 9(b + 2 + 2) + 1 Reorder the terms: 19 + -3b = 9(2 + 2 + b) + 1 Combine like terms: 2 + 2 = 4 19 + -3b = 9(4 + b) + 1 19 + -3b = (4 * 9 + b * 9) + 1 19 + -3b = (36 + 9b) + 1 Reorder the terms: 19 + -3b = 36 + 1 + 9b Combine like terms: 36 + 1 = 37 19 + -3b = 37 + 9b Solving 19 + -3b = 37 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 19 + -3b + -9b = 37 + 9b + -9b Combine like terms: -3b + -9b = -12b 19 + -12b = 37 + 9b + -9b Combine like terms: 9b + -9b = 0 19 + -12b = 37 + 0 19 + -12b = 37 Add '-19' to each side of the equation. 19 + -19 + -12b = 37 + -19 Combine like terms: 19 + -19 = 0 0 + -12b = 37 + -19 -12b = 37 + -19 Combine like terms: 37 + -19 = 18 -12b = 18 Divide each side by '-12'. b = -1.5 Simplifying b = -1.5
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