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Simplifying 4b + -5(7b + 1) = -8b + -28 Reorder the terms: 4b + -5(1 + 7b) = -8b + -28 4b + (1 * -5 + 7b * -5) = -8b + -28 4b + (-5 + -35b) = -8b + -28 Reorder the terms: -5 + 4b + -35b = -8b + -28 Combine like terms: 4b + -35b = -31b -5 + -31b = -8b + -28 Reorder the terms: -5 + -31b = -28 + -8b Solving -5 + -31b = -28 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -5 + -31b + 8b = -28 + -8b + 8b Combine like terms: -31b + 8b = -23b -5 + -23b = -28 + -8b + 8b Combine like terms: -8b + 8b = 0 -5 + -23b = -28 + 0 -5 + -23b = -28 Add '5' to each side of the equation. -5 + 5 + -23b = -28 + 5 Combine like terms: -5 + 5 = 0 0 + -23b = -28 + 5 -23b = -28 + 5 Combine like terms: -28 + 5 = -23 -23b = -23 Divide each side by '-23'. b = 1 Simplifying b = 1
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