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Simplifying -3b + -8 = 10b + -8b + 7 Reorder the terms: -8 + -3b = 10b + -8b + 7 Reorder the terms: -8 + -3b = 7 + 10b + -8b Combine like terms: 10b + -8b = 2b -8 + -3b = 7 + 2b Solving -8 + -3b = 7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -8 + -3b + -2b = 7 + 2b + -2b Combine like terms: -3b + -2b = -5b -8 + -5b = 7 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + -5b = 7 + 0 -8 + -5b = 7 Add '8' to each side of the equation. -8 + 8 + -5b = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = 7 + 8 -5b = 7 + 8 Combine like terms: 7 + 8 = 15 -5b = 15 Divide each side by '-5'. b = -3 Simplifying b = -3
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