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Simplifying -7b + -20 = -5(2b + 1) Reorder the terms: -20 + -7b = -5(2b + 1) Reorder the terms: -20 + -7b = -5(1 + 2b) -20 + -7b = (1 * -5 + 2b * -5) -20 + -7b = (-5 + -10b) Solving -20 + -7b = -5 + -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. -20 + -7b + 10b = -5 + -10b + 10b Combine like terms: -7b + 10b = 3b -20 + 3b = -5 + -10b + 10b Combine like terms: -10b + 10b = 0 -20 + 3b = -5 + 0 -20 + 3b = -5 Add '20' to each side of the equation. -20 + 20 + 3b = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 3b = -5 + 20 3b = -5 + 20 Combine like terms: -5 + 20 = 15 3b = 15 Divide each side by '3'. b = 5 Simplifying b = 5
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