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Simplifying 4(7 + -2b) + -2(3b + 2) = 0 (7 * 4 + -2b * 4) + -2(3b + 2) = 0 (28 + -8b) + -2(3b + 2) = 0 Reorder the terms: 28 + -8b + -2(2 + 3b) = 0 28 + -8b + (2 * -2 + 3b * -2) = 0 28 + -8b + (-4 + -6b) = 0 Reorder the terms: 28 + -4 + -8b + -6b = 0 Combine like terms: 28 + -4 = 24 24 + -8b + -6b = 0 Combine like terms: -8b + -6b = -14b 24 + -14b = 0 Solving 24 + -14b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -14b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -14b = 0 + -24 -14b = 0 + -24 Combine like terms: 0 + -24 = -24 -14b = -24 Divide each side by '-14'. b = 1.714285714 Simplifying b = 1.714285714
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