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Simplifying 9(-14b + 8) = 2 + -4(20b + 17) Reorder the terms: 9(8 + -14b) = 2 + -4(20b + 17) (8 * 9 + -14b * 9) = 2 + -4(20b + 17) (72 + -126b) = 2 + -4(20b + 17) Reorder the terms: 72 + -126b = 2 + -4(17 + 20b) 72 + -126b = 2 + (17 * -4 + 20b * -4) 72 + -126b = 2 + (-68 + -80b) Combine like terms: 2 + -68 = -66 72 + -126b = -66 + -80b Solving 72 + -126b = -66 + -80b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '80b' to each side of the equation. 72 + -126b + 80b = -66 + -80b + 80b Combine like terms: -126b + 80b = -46b 72 + -46b = -66 + -80b + 80b Combine like terms: -80b + 80b = 0 72 + -46b = -66 + 0 72 + -46b = -66 Add '-72' to each side of the equation. 72 + -72 + -46b = -66 + -72 Combine like terms: 72 + -72 = 0 0 + -46b = -66 + -72 -46b = -66 + -72 Combine like terms: -66 + -72 = -138 -46b = -138 Divide each side by '-46'. b = 3 Simplifying b = 3
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