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Simplifying 7b + -5 = 2(2b + -13) Reorder the terms: -5 + 7b = 2(2b + -13) Reorder the terms: -5 + 7b = 2(-13 + 2b) -5 + 7b = (-13 * 2 + 2b * 2) -5 + 7b = (-26 + 4b) Solving -5 + 7b = -26 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -5 + 7b + -4b = -26 + 4b + -4b Combine like terms: 7b + -4b = 3b -5 + 3b = -26 + 4b + -4b Combine like terms: 4b + -4b = 0 -5 + 3b = -26 + 0 -5 + 3b = -26 Add '5' to each side of the equation. -5 + 5 + 3b = -26 + 5 Combine like terms: -5 + 5 = 0 0 + 3b = -26 + 5 3b = -26 + 5 Combine like terms: -26 + 5 = -21 3b = -21 Divide each side by '3'. b = -7 Simplifying b = -7
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