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Simplifying -11b + -20 = -1 + 7(-2b + -7) Reorder the terms: -20 + -11b = -1 + 7(-2b + -7) Reorder the terms: -20 + -11b = -1 + 7(-7 + -2b) -20 + -11b = -1 + (-7 * 7 + -2b * 7) -20 + -11b = -1 + (-49 + -14b) Combine like terms: -1 + -49 = -50 -20 + -11b = -50 + -14b Solving -20 + -11b = -50 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -20 + -11b + 14b = -50 + -14b + 14b Combine like terms: -11b + 14b = 3b -20 + 3b = -50 + -14b + 14b Combine like terms: -14b + 14b = 0 -20 + 3b = -50 + 0 -20 + 3b = -50 Add '20' to each side of the equation. -20 + 20 + 3b = -50 + 20 Combine like terms: -20 + 20 = 0 0 + 3b = -50 + 20 3b = -50 + 20 Combine like terms: -50 + 20 = -30 3b = -30 Divide each side by '3'. b = -10 Simplifying b = -10
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