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Simplifying 7b + 29 = -5(5 + -3b) + -2 Reorder the terms: 29 + 7b = -5(5 + -3b) + -2 29 + 7b = (5 * -5 + -3b * -5) + -2 29 + 7b = (-25 + 15b) + -2 Reorder the terms: 29 + 7b = -25 + -2 + 15b Combine like terms: -25 + -2 = -27 29 + 7b = -27 + 15b Solving 29 + 7b = -27 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 29 + 7b + -15b = -27 + 15b + -15b Combine like terms: 7b + -15b = -8b 29 + -8b = -27 + 15b + -15b Combine like terms: 15b + -15b = 0 29 + -8b = -27 + 0 29 + -8b = -27 Add '-29' to each side of the equation. 29 + -29 + -8b = -27 + -29 Combine like terms: 29 + -29 = 0 0 + -8b = -27 + -29 -8b = -27 + -29 Combine like terms: -27 + -29 = -56 -8b = -56 Divide each side by '-8'. b = 7 Simplifying b = 7
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