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Simplifying 2(5 + -6b) = 13 + -15b (5 * 2 + -6b * 2) = 13 + -15b (10 + -12b) = 13 + -15b Solving 10 + -12b = 13 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. 10 + -12b + 15b = 13 + -15b + 15b Combine like terms: -12b + 15b = 3b 10 + 3b = 13 + -15b + 15b Combine like terms: -15b + 15b = 0 10 + 3b = 13 + 0 10 + 3b = 13 Add '-10' to each side of the equation. 10 + -10 + 3b = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = 13 + -10 3b = 13 + -10 Combine like terms: 13 + -10 = 3 3b = 3 Divide each side by '3'. b = 1 Simplifying b = 1
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