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Simplifying -7 + 6(-4b + 6) = -22 + -7b Reorder the terms: -7 + 6(6 + -4b) = -22 + -7b -7 + (6 * 6 + -4b * 6) = -22 + -7b -7 + (36 + -24b) = -22 + -7b Combine like terms: -7 + 36 = 29 29 + -24b = -22 + -7b Solving 29 + -24b = -22 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 29 + -24b + 7b = -22 + -7b + 7b Combine like terms: -24b + 7b = -17b 29 + -17b = -22 + -7b + 7b Combine like terms: -7b + 7b = 0 29 + -17b = -22 + 0 29 + -17b = -22 Add '-29' to each side of the equation. 29 + -29 + -17b = -22 + -29 Combine like terms: 29 + -29 = 0 0 + -17b = -22 + -29 -17b = -22 + -29 Combine like terms: -22 + -29 = -51 -17b = -51 Divide each side by '-17'. b = 3 Simplifying b = 3
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