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Simplifying 6(-5b + 5) = -40 + 5b Reorder the terms: 6(5 + -5b) = -40 + 5b (5 * 6 + -5b * 6) = -40 + 5b (30 + -30b) = -40 + 5b Solving 30 + -30b = -40 + 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. 30 + -30b + -5b = -40 + 5b + -5b Combine like terms: -30b + -5b = -35b 30 + -35b = -40 + 5b + -5b Combine like terms: 5b + -5b = 0 30 + -35b = -40 + 0 30 + -35b = -40 Add '-30' to each side of the equation. 30 + -30 + -35b = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -35b = -40 + -30 -35b = -40 + -30 Combine like terms: -40 + -30 = -70 -35b = -70 Divide each side by '-35'. b = 2 Simplifying b = 2
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