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Simplifying -5(2b + 7) + b = -1b + -11 Reorder the terms: -5(7 + 2b) + b = -1b + -11 (7 * -5 + 2b * -5) + b = -1b + -11 (-35 + -10b) + b = -1b + -11 Combine like terms: -10b + b = -9b -35 + -9b = -1b + -11 Reorder the terms: -35 + -9b = -11 + -1b Solving -35 + -9b = -11 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -35 + -9b + b = -11 + -1b + b Combine like terms: -9b + b = -8b -35 + -8b = -11 + -1b + b Combine like terms: -1b + b = 0 -35 + -8b = -11 + 0 -35 + -8b = -11 Add '35' to each side of the equation. -35 + 35 + -8b = -11 + 35 Combine like terms: -35 + 35 = 0 0 + -8b = -11 + 35 -8b = -11 + 35 Combine like terms: -11 + 35 = 24 -8b = 24 Divide each side by '-8'. b = -3 Simplifying b = -3
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