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Simplifying -6b + 7 + 4b = -3b + 12 Reorder the terms: 7 + -6b + 4b = -3b + 12 Combine like terms: -6b + 4b = -2b 7 + -2b = -3b + 12 Reorder the terms: 7 + -2b = 12 + -3b Solving 7 + -2b = 12 + -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. 7 + -2b + 3b = 12 + -3b + 3b Combine like terms: -2b + 3b = 1b 7 + 1b = 12 + -3b + 3b Combine like terms: -3b + 3b = 0 7 + 1b = 12 + 0 7 + 1b = 12 Add '-7' to each side of the equation. 7 + -7 + 1b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1b = 12 + -7 1b = 12 + -7 Combine like terms: 12 + -7 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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