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Simplifying 2(2b + -9) = a + 3b Reorder the terms: 2(-9 + 2b) = a + 3b (-9 * 2 + 2b * 2) = a + 3b (-18 + 4b) = a + 3b Solving -18 + 4b = a + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -18 + 4b + -3b = a + 3b + -3b Combine like terms: 4b + -3b = 1b -18 + 1b = a + 3b + -3b Combine like terms: 3b + -3b = 0 -18 + 1b = a + 0 -18 + 1b = a Add '18' to each side of the equation. -18 + 18 + 1b = 18 + a Combine like terms: -18 + 18 = 0 0 + 1b = 18 + a 1b = 18 + a Divide each side by '1'. b = 18 + a Simplifying b = 18 + a
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