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Simplifying 35 = -8(b + -6) + -3(1 + -2b) Reorder the terms: 35 = -8(-6 + b) + -3(1 + -2b) 35 = (-6 * -8 + b * -8) + -3(1 + -2b) 35 = (48 + -8b) + -3(1 + -2b) 35 = 48 + -8b + (1 * -3 + -2b * -3) 35 = 48 + -8b + (-3 + 6b) Reorder the terms: 35 = 48 + -3 + -8b + 6b Combine like terms: 48 + -3 = 45 35 = 45 + -8b + 6b Combine like terms: -8b + 6b = -2b 35 = 45 + -2b Solving 35 = 45 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 35 + 2b = 45 + -2b + 2b Combine like terms: -2b + 2b = 0 35 + 2b = 45 + 0 35 + 2b = 45 Add '-35' to each side of the equation. 35 + -35 + 2b = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 2b = 45 + -35 2b = 45 + -35 Combine like terms: 45 + -35 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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