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Simplifying 13b + -19 = 7(5 + -2b) Reorder the terms: -19 + 13b = 7(5 + -2b) -19 + 13b = (5 * 7 + -2b * 7) -19 + 13b = (35 + -14b) Solving -19 + 13b = 35 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -19 + 13b + 14b = 35 + -14b + 14b Combine like terms: 13b + 14b = 27b -19 + 27b = 35 + -14b + 14b Combine like terms: -14b + 14b = 0 -19 + 27b = 35 + 0 -19 + 27b = 35 Add '19' to each side of the equation. -19 + 19 + 27b = 35 + 19 Combine like terms: -19 + 19 = 0 0 + 27b = 35 + 19 27b = 35 + 19 Combine like terms: 35 + 19 = 54 27b = 54 Divide each side by '27'. b = 2 Simplifying b = 2
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