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Simplifying 3(5a + 2b) = 15a + 2b (5a * 3 + 2b * 3) = 15a + 2b (15a + 6b) = 15a + 2b Add '-15a' to each side of the equation. 15a + -15a + 6b = 15a + -15a + 2b Combine like terms: 15a + -15a = 0 0 + 6b = 15a + -15a + 2b 6b = 15a + -15a + 2b Combine like terms: 15a + -15a = 0 6b = 0 + 2b 6b = 2b Solving 6b = 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. 6b + -2b = 2b + -2b Combine like terms: 6b + -2b = 4b 4b = 2b + -2b Combine like terms: 2b + -2b = 0 4b = 0 Divide each side by '4'. b = 0 Simplifying b = 0
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