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Simplifying -5(2b + 7) + 6 = -1b + -11 Reorder the terms: -5(7 + 2b) + 6 = -1b + -11 (7 * -5 + 2b * -5) + 6 = -1b + -11 (-35 + -10b) + 6 = -1b + -11 Reorder the terms: -35 + 6 + -10b = -1b + -11 Combine like terms: -35 + 6 = -29 -29 + -10b = -1b + -11 Reorder the terms: -29 + -10b = -11 + -1b Solving -29 + -10b = -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. -29 + -10b + b = -11 + -1b + b Combine like terms: -10b + b = -9b -29 + -9b = -11 + -1b + b Combine like terms: -1b + b = 0 -29 + -9b = -11 + 0 -29 + -9b = -11 Add '29' to each side of the equation. -29 + 29 + -9b = -11 + 29 Combine like terms: -29 + 29 = 0 0 + -9b = -11 + 29 -9b = -11 + 29 Combine like terms: -11 + 29 = 18 -9b = 18 Divide each side by '-9'. b = -2 Simplifying b = -2
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