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Simplifying 7(b + -4) = 5(b + -2) Reorder the terms: 7(-4 + b) = 5(b + -2) (-4 * 7 + b * 7) = 5(b + -2) (-28 + 7b) = 5(b + -2) Reorder the terms: -28 + 7b = 5(-2 + b) -28 + 7b = (-2 * 5 + b * 5) -28 + 7b = (-10 + 5b) Solving -28 + 7b = -10 + 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. -28 + 7b + -5b = -10 + 5b + -5b Combine like terms: 7b + -5b = 2b -28 + 2b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 -28 + 2b = -10 + 0 -28 + 2b = -10 Add '28' to each side of the equation. -28 + 28 + 2b = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 2b = -10 + 28 2b = -10 + 28 Combine like terms: -10 + 28 = 18 2b = 18 Divide each side by '2'. b = 9 Simplifying b = 9
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