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Simplifying 5(7 + -1b) = 5(-2b + -3) (7 * 5 + -1b * 5) = 5(-2b + -3) (35 + -5b) = 5(-2b + -3) Reorder the terms: 35 + -5b = 5(-3 + -2b) 35 + -5b = (-3 * 5 + -2b * 5) 35 + -5b = (-15 + -10b) Solving 35 + -5b = -15 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 35 + -5b + 10b = -15 + -10b + 10b Combine like terms: -5b + 10b = 5b 35 + 5b = -15 + -10b + 10b Combine like terms: -10b + 10b = 0 35 + 5b = -15 + 0 35 + 5b = -15 Add '-35' to each side of the equation. 35 + -35 + 5b = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 5b = -15 + -35 5b = -15 + -35 Combine like terms: -15 + -35 = -50 5b = -50 Divide each side by '5'. b = -10 Simplifying b = -10
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