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Simplifying 4b + -8 + 6b = 10 + 12b Reorder the terms: -8 + 4b + 6b = 10 + 12b Combine like terms: 4b + 6b = 10b -8 + 10b = 10 + 12b Solving -8 + 10b = 10 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -8 + 10b + -12b = 10 + 12b + -12b Combine like terms: 10b + -12b = -2b -8 + -2b = 10 + 12b + -12b Combine like terms: 12b + -12b = 0 -8 + -2b = 10 + 0 -8 + -2b = 10 Add '8' to each side of the equation. -8 + 8 + -2b = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2b = 10 + 8 -2b = 10 + 8 Combine like terms: 10 + 8 = 18 -2b = 18 Divide each side by '-2'. b = -9 Simplifying b = -9
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