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Simplifying 3b + 7 = -6b + 52 Reorder the terms: 7 + 3b = -6b + 52 Reorder the terms: 7 + 3b = 52 + -6b Solving 7 + 3b = 52 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 7 + 3b + 6b = 52 + -6b + 6b Combine like terms: 3b + 6b = 9b 7 + 9b = 52 + -6b + 6b Combine like terms: -6b + 6b = 0 7 + 9b = 52 + 0 7 + 9b = 52 Add '-7' to each side of the equation. 7 + -7 + 9b = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 9b = 52 + -7 9b = 52 + -7 Combine like terms: 52 + -7 = 45 9b = 45 Divide each side by '9'. b = 5 Simplifying b = 5
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