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Simplifying 3(a + 6) = 3a + 3b Reorder the terms: 3(6 + a) = 3a + 3b (6 * 3 + a * 3) = 3a + 3b (18 + 3a) = 3a + 3b Add '-3a' to each side of the equation. 18 + 3a + -3a = 3a + -3a + 3b Combine like terms: 3a + -3a = 0 18 + 0 = 3a + -3a + 3b 18 = 3a + -3a + 3b Combine like terms: 3a + -3a = 0 18 = 0 + 3b 18 = 3b Solving 18 = 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 + -3b = 3b + -3b Combine like terms: 3b + -3b = 0 18 + -3b = 0 Add '-18' to each side of the equation. 18 + -18 + -3b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3b = 0 + -18 -3b = 0 + -18 Combine like terms: 0 + -18 = -18 -3b = -18 Divide each side by '-3'. b = 6 Simplifying b = 6
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