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Simplifying 10 + -3b + 14 = 2b + -18 + 7b Reorder the terms: 10 + 14 + -3b = 2b + -18 + 7b Combine like terms: 10 + 14 = 24 24 + -3b = 2b + -18 + 7b Reorder the terms: 24 + -3b = -18 + 2b + 7b Combine like terms: 2b + 7b = 9b 24 + -3b = -18 + 9b Solving 24 + -3b = -18 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 24 + -3b + -9b = -18 + 9b + -9b Combine like terms: -3b + -9b = -12b 24 + -12b = -18 + 9b + -9b Combine like terms: 9b + -9b = 0 24 + -12b = -18 + 0 24 + -12b = -18 Add '-24' to each side of the equation. 24 + -24 + -12b = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -12b = -18 + -24 -12b = -18 + -24 Combine like terms: -18 + -24 = -42 -12b = -42 Divide each side by '-12'. b = 3.5 Simplifying b = 3.5
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