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Simplifying 3(a + 7) + 6a + -3(a + 2) = 45 Reorder the terms: 3(7 + a) + 6a + -3(a + 2) = 45 (7 * 3 + a * 3) + 6a + -3(a + 2) = 45 (21 + 3a) + 6a + -3(a + 2) = 45 Reorder the terms: 21 + 3a + 6a + -3(2 + a) = 45 21 + 3a + 6a + (2 * -3 + a * -3) = 45 21 + 3a + 6a + (-6 + -3a) = 45 Reorder the terms: 21 + -6 + 3a + 6a + -3a = 45 Combine like terms: 21 + -6 = 15 15 + 3a + 6a + -3a = 45 Combine like terms: 3a + 6a = 9a 15 + 9a + -3a = 45 Combine like terms: 9a + -3a = 6a 15 + 6a = 45 Solving 15 + 6a = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6a = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6a = 45 + -15 6a = 45 + -15 Combine like terms: 45 + -15 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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