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Simplifying 7b + 19 = -2(b + -7) Reorder the terms: 19 + 7b = -2(b + -7) Reorder the terms: 19 + 7b = -2(-7 + b) 19 + 7b = (-7 * -2 + b * -2) 19 + 7b = (14 + -2b) Solving 19 + 7b = 14 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 19 + 7b + 2b = 14 + -2b + 2b Combine like terms: 7b + 2b = 9b 19 + 9b = 14 + -2b + 2b Combine like terms: -2b + 2b = 0 19 + 9b = 14 + 0 19 + 9b = 14 Add '-19' to each side of the equation. 19 + -19 + 9b = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 9b = 14 + -19 9b = 14 + -19 Combine like terms: 14 + -19 = -5 9b = -5 Divide each side by '9'. b = -0.5555555556 Simplifying b = -0.5555555556
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