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Simplifying -7b + -22 = -1(8b + -2) + -2b Reorder the terms: -22 + -7b = -1(8b + -2) + -2b Reorder the terms: -22 + -7b = -1(-2 + 8b) + -2b -22 + -7b = (-2 * -1 + 8b * -1) + -2b -22 + -7b = (2 + -8b) + -2b Combine like terms: -8b + -2b = -10b -22 + -7b = 2 + -10b Solving -22 + -7b = 2 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -22 + -7b + 10b = 2 + -10b + 10b Combine like terms: -7b + 10b = 3b -22 + 3b = 2 + -10b + 10b Combine like terms: -10b + 10b = 0 -22 + 3b = 2 + 0 -22 + 3b = 2 Add '22' to each side of the equation. -22 + 22 + 3b = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 3b = 2 + 22 3b = 2 + 22 Combine like terms: 2 + 22 = 24 3b = 24 Divide each side by '3'. b = 8 Simplifying b = 8
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