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Simplifying 2(3b + -1) = -1(b + -19) Reorder the terms: 2(-1 + 3b) = -1(b + -19) (-1 * 2 + 3b * 2) = -1(b + -19) (-2 + 6b) = -1(b + -19) Reorder the terms: -2 + 6b = -1(-19 + b) -2 + 6b = (-19 * -1 + b * -1) -2 + 6b = (19 + -1b) Solving -2 + 6b = 19 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -2 + 6b + b = 19 + -1b + b Combine like terms: 6b + b = 7b -2 + 7b = 19 + -1b + b Combine like terms: -1b + b = 0 -2 + 7b = 19 + 0 -2 + 7b = 19 Add '2' to each side of the equation. -2 + 2 + 7b = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7b = 19 + 2 7b = 19 + 2 Combine like terms: 19 + 2 = 21 7b = 21 Divide each side by '7'. b = 3 Simplifying b = 3
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