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Simplifying 5(1 + 8b) = -30 + 5b (1 * 5 + 8b * 5) = -30 + 5b (5 + 40b) = -30 + 5b Solving 5 + 40b = -30 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 5 + 40b + -5b = -30 + 5b + -5b Combine like terms: 40b + -5b = 35b 5 + 35b = -30 + 5b + -5b Combine like terms: 5b + -5b = 0 5 + 35b = -30 + 0 5 + 35b = -30 Add '-5' to each side of the equation. 5 + -5 + 35b = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 35b = -30 + -5 35b = -30 + -5 Combine like terms: -30 + -5 = -35 35b = -35 Divide each side by '35'. b = -1 Simplifying b = -1
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