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Simplifying -5(1 + -3b) = 10b + 11(b + -7) (1 * -5 + -3b * -5) = 10b + 11(b + -7) (-5 + 15b) = 10b + 11(b + -7) Reorder the terms: -5 + 15b = 10b + 11(-7 + b) -5 + 15b = 10b + (-7 * 11 + b * 11) -5 + 15b = 10b + (-77 + 11b) Reorder the terms: -5 + 15b = -77 + 10b + 11b Combine like terms: 10b + 11b = 21b -5 + 15b = -77 + 21b Solving -5 + 15b = -77 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. -5 + 15b + -21b = -77 + 21b + -21b Combine like terms: 15b + -21b = -6b -5 + -6b = -77 + 21b + -21b Combine like terms: 21b + -21b = 0 -5 + -6b = -77 + 0 -5 + -6b = -77 Add '5' to each side of the equation. -5 + 5 + -6b = -77 + 5 Combine like terms: -5 + 5 = 0 0 + -6b = -77 + 5 -6b = -77 + 5 Combine like terms: -77 + 5 = -72 -6b = -72 Divide each side by '-6'. b = 12 Simplifying b = 12
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