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Simplifying 7(b + -5) + 5(b + 5) = 45 Reorder the terms: 7(-5 + b) + 5(b + 5) = 45 (-5 * 7 + b * 7) + 5(b + 5) = 45 (-35 + 7b) + 5(b + 5) = 45 Reorder the terms: -35 + 7b + 5(5 + b) = 45 -35 + 7b + (5 * 5 + b * 5) = 45 -35 + 7b + (25 + 5b) = 45 Reorder the terms: -35 + 25 + 7b + 5b = 45 Combine like terms: -35 + 25 = -10 -10 + 7b + 5b = 45 Combine like terms: 7b + 5b = 12b -10 + 12b = 45 Solving -10 + 12b = 45 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12b = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 12b = 45 + 10 12b = 45 + 10 Combine like terms: 45 + 10 = 55 12b = 55 Divide each side by '12'. b = 4.583333333 Simplifying b = 4.583333333
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