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Simplifying 6b + -7 + 4b = 6b + 7b + 2 Reorder the terms: -7 + 6b + 4b = 6b + 7b + 2 Combine like terms: 6b + 4b = 10b -7 + 10b = 6b + 7b + 2 Reorder the terms: -7 + 10b = 2 + 6b + 7b Combine like terms: 6b + 7b = 13b -7 + 10b = 2 + 13b Solving -7 + 10b = 2 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. -7 + 10b + -13b = 2 + 13b + -13b Combine like terms: 10b + -13b = -3b -7 + -3b = 2 + 13b + -13b Combine like terms: 13b + -13b = 0 -7 + -3b = 2 + 0 -7 + -3b = 2 Add '7' to each side of the equation. -7 + 7 + -3b = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3b = 2 + 7 -3b = 2 + 7 Combine like terms: 2 + 7 = 9 -3b = 9 Divide each side by '-3'. b = -3 Simplifying b = -3
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