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Simplifying -6b + 2 + 6b = 3b + 7 Reorder the terms: 2 + -6b + 6b = 3b + 7 Combine like terms: -6b + 6b = 0 2 + 0 = 3b + 7 2 = 3b + 7 Reorder the terms: 2 = 7 + 3b Solving 2 = 7 + 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. 2 + -3b = 7 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + -3b = 7 + 0 2 + -3b = 7 Add '-2' to each side of the equation. 2 + -2 + -3b = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 7 + -2 -3b = 7 + -2 Combine like terms: 7 + -2 = 5 -3b = 5 Divide each side by '-3'. b = -1.666666667 Simplifying b = -1.666666667
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