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Simplifying -4 + -2(-1b + -7) = 6b + -22 Reorder the terms: -4 + -2(-7 + -1b) = 6b + -22 -4 + (-7 * -2 + -1b * -2) = 6b + -22 -4 + (14 + 2b) = 6b + -22 Combine like terms: -4 + 14 = 10 10 + 2b = 6b + -22 Reorder the terms: 10 + 2b = -22 + 6b Solving 10 + 2b = -22 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 10 + 2b + -6b = -22 + 6b + -6b Combine like terms: 2b + -6b = -4b 10 + -4b = -22 + 6b + -6b Combine like terms: 6b + -6b = 0 10 + -4b = -22 + 0 10 + -4b = -22 Add '-10' to each side of the equation. 10 + -10 + -4b = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -4b = -22 + -10 -4b = -22 + -10 Combine like terms: -22 + -10 = -32 -4b = -32 Divide each side by '-4'. b = 8 Simplifying b = 8
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