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Simplifying 2(a + 2) + 3 = 3(10 + 3a) Reorder the terms: 2(2 + a) + 3 = 3(10 + 3a) (2 * 2 + a * 2) + 3 = 3(10 + 3a) (4 + 2a) + 3 = 3(10 + 3a) Reorder the terms: 4 + 3 + 2a = 3(10 + 3a) Combine like terms: 4 + 3 = 7 7 + 2a = 3(10 + 3a) 7 + 2a = (10 * 3 + 3a * 3) 7 + 2a = (30 + 9a) Solving 7 + 2a = 30 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 7 + 2a + -9a = 30 + 9a + -9a Combine like terms: 2a + -9a = -7a 7 + -7a = 30 + 9a + -9a Combine like terms: 9a + -9a = 0 7 + -7a = 30 + 0 7 + -7a = 30 Add '-7' to each side of the equation. 7 + -7 + -7a = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -7a = 30 + -7 -7a = 30 + -7 Combine like terms: 30 + -7 = 23 -7a = 23 Divide each side by '-7'. a = -3.285714286 Simplifying a = -3.285714286
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