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Simplifying -14 = -2(b + -19) + -18 Reorder the terms: -14 = -2(-19 + b) + -18 -14 = (-19 * -2 + b * -2) + -18 -14 = (38 + -2b) + -18 Reorder the terms: -14 = 38 + -18 + -2b Combine like terms: 38 + -18 = 20 -14 = 20 + -2b Solving -14 = 20 + -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. -14 + 2b = 20 + -2b + 2b Combine like terms: -2b + 2b = 0 -14 + 2b = 20 + 0 -14 + 2b = 20 Add '14' to each side of the equation. -14 + 14 + 2b = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 2b = 20 + 14 2b = 20 + 14 Combine like terms: 20 + 14 = 34 2b = 34 Divide each side by '2'. b = 17 Simplifying b = 17
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