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Simplifying 0 = 2(3b + 5) + 4(2b + -3) Reorder the terms: 0 = 2(5 + 3b) + 4(2b + -3) 0 = (5 * 2 + 3b * 2) + 4(2b + -3) 0 = (10 + 6b) + 4(2b + -3) Reorder the terms: 0 = 10 + 6b + 4(-3 + 2b) 0 = 10 + 6b + (-3 * 4 + 2b * 4) 0 = 10 + 6b + (-12 + 8b) Reorder the terms: 0 = 10 + -12 + 6b + 8b Combine like terms: 10 + -12 = -2 0 = -2 + 6b + 8b Combine like terms: 6b + 8b = 14b 0 = -2 + 14b Solving 0 = -2 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 0 + -14b = -2 + 14b + -14b Remove the zero: -14b = -2 + 14b + -14b Combine like terms: 14b + -14b = 0 -14b = -2 + 0 -14b = -2 Divide each side by '-14'. b = 0.1428571429 Simplifying b = 0.1428571429
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