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Simplifying -29 + -8b = -5(4 + 2b) + 1 -29 + -8b = (4 * -5 + 2b * -5) + 1 -29 + -8b = (-20 + -10b) + 1 Reorder the terms: -29 + -8b = -20 + 1 + -10b Combine like terms: -20 + 1 = -19 -29 + -8b = -19 + -10b Solving -29 + -8b = -19 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -29 + -8b + 10b = -19 + -10b + 10b Combine like terms: -8b + 10b = 2b -29 + 2b = -19 + -10b + 10b Combine like terms: -10b + 10b = 0 -29 + 2b = -19 + 0 -29 + 2b = -19 Add '29' to each side of the equation. -29 + 29 + 2b = -19 + 29 Combine like terms: -29 + 29 = 0 0 + 2b = -19 + 29 2b = -19 + 29 Combine like terms: -19 + 29 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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