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Simplifying -4(b + -6) + 7b = -7(b + -1) + -7b Reorder the terms: -4(-6 + b) + 7b = -7(b + -1) + -7b (-6 * -4 + b * -4) + 7b = -7(b + -1) + -7b (24 + -4b) + 7b = -7(b + -1) + -7b Combine like terms: -4b + 7b = 3b 24 + 3b = -7(b + -1) + -7b Reorder the terms: 24 + 3b = -7(-1 + b) + -7b 24 + 3b = (-1 * -7 + b * -7) + -7b 24 + 3b = (7 + -7b) + -7b Combine like terms: -7b + -7b = -14b 24 + 3b = 7 + -14b Solving 24 + 3b = 7 + -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. 24 + 3b + 14b = 7 + -14b + 14b Combine like terms: 3b + 14b = 17b 24 + 17b = 7 + -14b + 14b Combine like terms: -14b + 14b = 0 24 + 17b = 7 + 0 24 + 17b = 7 Add '-24' to each side of the equation. 24 + -24 + 17b = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 17b = 7 + -24 17b = 7 + -24 Combine like terms: 7 + -24 = -17 17b = -17 Divide each side by '17'. b = -1 Simplifying b = -1
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