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Simplifying 5b + -3 + -5b + 7b = 3b + -5 + b + -13 Reorder the terms: -3 + 5b + -5b + 7b = 3b + -5 + b + -13 Combine like terms: 5b + -5b = 0 -3 + 0 + 7b = 3b + -5 + b + -13 -3 + 7b = 3b + -5 + b + -13 Reorder the terms: -3 + 7b = -5 + -13 + 3b + b Combine like terms: -5 + -13 = -18 -3 + 7b = -18 + 3b + b Combine like terms: 3b + b = 4b -3 + 7b = -18 + 4b Solving -3 + 7b = -18 + 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. -3 + 7b + -4b = -18 + 4b + -4b Combine like terms: 7b + -4b = 3b -3 + 3b = -18 + 4b + -4b Combine like terms: 4b + -4b = 0 -3 + 3b = -18 + 0 -3 + 3b = -18 Add '3' to each side of the equation. -3 + 3 + 3b = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 3b = -18 + 3 3b = -18 + 3 Combine like terms: -18 + 3 = -15 3b = -15 Divide each side by '3'. b = -5 Simplifying b = -5
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