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Simplifying 7(b + -4) + -5(b + 2) = 0 Reorder the terms: 7(-4 + b) + -5(b + 2) = 0 (-4 * 7 + b * 7) + -5(b + 2) = 0 (-28 + 7b) + -5(b + 2) = 0 Reorder the terms: -28 + 7b + -5(2 + b) = 0 -28 + 7b + (2 * -5 + b * -5) = 0 -28 + 7b + (-10 + -5b) = 0 Reorder the terms: -28 + -10 + 7b + -5b = 0 Combine like terms: -28 + -10 = -38 -38 + 7b + -5b = 0 Combine like terms: 7b + -5b = 2b -38 + 2b = 0 Solving -38 + 2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2b = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 2b = 0 + 38 2b = 0 + 38 Combine like terms: 0 + 38 = 38 2b = 38 Divide each side by '2'. b = 19 Simplifying b = 19
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