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Simplifying 2(7b + -1) + -13 = 19b Reorder the terms: 2(-1 + 7b) + -13 = 19b (-1 * 2 + 7b * 2) + -13 = 19b (-2 + 14b) + -13 = 19b Reorder the terms: -2 + -13 + 14b = 19b Combine like terms: -2 + -13 = -15 -15 + 14b = 19b Solving -15 + 14b = 19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19b' to each side of the equation. -15 + 14b + -19b = 19b + -19b Combine like terms: 14b + -19b = -5b -15 + -5b = 19b + -19b Combine like terms: 19b + -19b = 0 -15 + -5b = 0 Add '15' to each side of the equation. -15 + 15 + -5b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5b = 0 + 15 -5b = 0 + 15 Combine like terms: 0 + 15 = 15 -5b = 15 Divide each side by '-5'. b = -3 Simplifying b = -3
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