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Simplifying 8b + 5(b + -7) = -3 + 5b Reorder the terms: 8b + 5(-7 + b) = -3 + 5b 8b + (-7 * 5 + b * 5) = -3 + 5b 8b + (-35 + 5b) = -3 + 5b Reorder the terms: -35 + 8b + 5b = -3 + 5b Combine like terms: 8b + 5b = 13b -35 + 13b = -3 + 5b Solving -35 + 13b = -3 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -35 + 13b + -5b = -3 + 5b + -5b Combine like terms: 13b + -5b = 8b -35 + 8b = -3 + 5b + -5b Combine like terms: 5b + -5b = 0 -35 + 8b = -3 + 0 -35 + 8b = -3 Add '35' to each side of the equation. -35 + 35 + 8b = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 8b = -3 + 35 8b = -3 + 35 Combine like terms: -3 + 35 = 32 8b = 32 Divide each side by '8'. b = 4 Simplifying b = 4
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