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Simplifying b + 2b + -10 = 10(b + 5) + 15 + b Reorder the terms: -10 + b + 2b = 10(b + 5) + 15 + b Combine like terms: b + 2b = 3b -10 + 3b = 10(b + 5) + 15 + b Reorder the terms: -10 + 3b = 10(5 + b) + 15 + b -10 + 3b = (5 * 10 + b * 10) + 15 + b -10 + 3b = (50 + 10b) + 15 + b Reorder the terms: -10 + 3b = 50 + 15 + 10b + b Combine like terms: 50 + 15 = 65 -10 + 3b = 65 + 10b + b Combine like terms: 10b + b = 11b -10 + 3b = 65 + 11b Solving -10 + 3b = 65 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. -10 + 3b + -11b = 65 + 11b + -11b Combine like terms: 3b + -11b = -8b -10 + -8b = 65 + 11b + -11b Combine like terms: 11b + -11b = 0 -10 + -8b = 65 + 0 -10 + -8b = 65 Add '10' to each side of the equation. -10 + 10 + -8b = 65 + 10 Combine like terms: -10 + 10 = 0 0 + -8b = 65 + 10 -8b = 65 + 10 Combine like terms: 65 + 10 = 75 -8b = 75 Divide each side by '-8'. b = -9.375 Simplifying b = -9.375
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