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Simplifying 5(6 + -8b) = 5b + -6(1 + 8b) (6 * 5 + -8b * 5) = 5b + -6(1 + 8b) (30 + -40b) = 5b + -6(1 + 8b) 30 + -40b = 5b + (1 * -6 + 8b * -6) 30 + -40b = 5b + (-6 + -48b) Reorder the terms: 30 + -40b = -6 + 5b + -48b Combine like terms: 5b + -48b = -43b 30 + -40b = -6 + -43b Solving 30 + -40b = -6 + -43b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '43b' to each side of the equation. 30 + -40b + 43b = -6 + -43b + 43b Combine like terms: -40b + 43b = 3b 30 + 3b = -6 + -43b + 43b Combine like terms: -43b + 43b = 0 30 + 3b = -6 + 0 30 + 3b = -6 Add '-30' to each side of the equation. 30 + -30 + 3b = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 3b = -6 + -30 3b = -6 + -30 Combine like terms: -6 + -30 = -36 3b = -36 Divide each side by '3'. b = -12 Simplifying b = -12
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