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Simplifying 2b + 7 + -6b + 12 = 4b + 5 + -7b + -1 Reorder the terms: 7 + 12 + 2b + -6b = 4b + 5 + -7b + -1 Combine like terms: 7 + 12 = 19 19 + 2b + -6b = 4b + 5 + -7b + -1 Combine like terms: 2b + -6b = -4b 19 + -4b = 4b + 5 + -7b + -1 Reorder the terms: 19 + -4b = 5 + -1 + 4b + -7b Combine like terms: 5 + -1 = 4 19 + -4b = 4 + 4b + -7b Combine like terms: 4b + -7b = -3b 19 + -4b = 4 + -3b Solving 19 + -4b = 4 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 19 + -4b + 3b = 4 + -3b + 3b Combine like terms: -4b + 3b = -1b 19 + -1b = 4 + -3b + 3b Combine like terms: -3b + 3b = 0 19 + -1b = 4 + 0 19 + -1b = 4 Add '-19' to each side of the equation. 19 + -19 + -1b = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -1b = 4 + -19 -1b = 4 + -19 Combine like terms: 4 + -19 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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