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Simplifying 5(2b + 3) = 2b + a Reorder the terms: 5(3 + 2b) = 2b + a (3 * 5 + 2b * 5) = 2b + a (15 + 10b) = 2b + a Reorder the terms: 15 + 10b = a + 2b Solving 15 + 10b = a + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 15 + 10b + -2b = a + 2b + -2b Combine like terms: 10b + -2b = 8b 15 + 8b = a + 2b + -2b Combine like terms: 2b + -2b = 0 15 + 8b = a + 0 15 + 8b = a Add '-15' to each side of the equation. 15 + -15 + 8b = -15 + a Combine like terms: 15 + -15 = 0 0 + 8b = -15 + a 8b = -15 + a Divide each side by '8'. b = -1.875 + 0.125a Simplifying b = -1.875 + 0.125a
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