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Simplifying -7 + -8(2b + -7) = 29 + -6b Reorder the terms: -7 + -8(-7 + 2b) = 29 + -6b -7 + (-7 * -8 + 2b * -8) = 29 + -6b -7 + (56 + -16b) = 29 + -6b Combine like terms: -7 + 56 = 49 49 + -16b = 29 + -6b Solving 49 + -16b = 29 + -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. 49 + -16b + 6b = 29 + -6b + 6b Combine like terms: -16b + 6b = -10b 49 + -10b = 29 + -6b + 6b Combine like terms: -6b + 6b = 0 49 + -10b = 29 + 0 49 + -10b = 29 Add '-49' to each side of the equation. 49 + -49 + -10b = 29 + -49 Combine like terms: 49 + -49 = 0 0 + -10b = 29 + -49 -10b = 29 + -49 Combine like terms: 29 + -49 = -20 -10b = -20 Divide each side by '-10'. b = 2 Simplifying b = 2
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