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Simplifying -6b + 29 = -7b + 4(1 + -6b) Reorder the terms: 29 + -6b = -7b + 4(1 + -6b) 29 + -6b = -7b + (1 * 4 + -6b * 4) 29 + -6b = -7b + (4 + -24b) Reorder the terms: 29 + -6b = 4 + -7b + -24b Combine like terms: -7b + -24b = -31b 29 + -6b = 4 + -31b Solving 29 + -6b = 4 + -31b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31b' to each side of the equation. 29 + -6b + 31b = 4 + -31b + 31b Combine like terms: -6b + 31b = 25b 29 + 25b = 4 + -31b + 31b Combine like terms: -31b + 31b = 0 29 + 25b = 4 + 0 29 + 25b = 4 Add '-29' to each side of the equation. 29 + -29 + 25b = 4 + -29 Combine like terms: 29 + -29 = 0 0 + 25b = 4 + -29 25b = 4 + -29 Combine like terms: 4 + -29 = -25 25b = -25 Divide each side by '25'. b = -1 Simplifying b = -1
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