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Simplifying -3b + 15b + 7 = 8b + 43 Reorder the terms: 7 + -3b + 15b = 8b + 43 Combine like terms: -3b + 15b = 12b 7 + 12b = 8b + 43 Reorder the terms: 7 + 12b = 43 + 8b Solving 7 + 12b = 43 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 7 + 12b + -8b = 43 + 8b + -8b Combine like terms: 12b + -8b = 4b 7 + 4b = 43 + 8b + -8b Combine like terms: 8b + -8b = 0 7 + 4b = 43 + 0 7 + 4b = 43 Add '-7' to each side of the equation. 7 + -7 + 4b = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 43 + -7 4b = 43 + -7 Combine like terms: 43 + -7 = 36 4b = 36 Divide each side by '4'. b = 9 Simplifying b = 9
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