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Simplifying 30 = a + (2a + 3) + (a + 7) Reorder the terms: 30 = a + (3 + 2a) + (a + 7) Remove parenthesis around (3 + 2a) 30 = a + 3 + 2a + (a + 7) Reorder the terms: 30 = a + 3 + 2a + (7 + a) Remove parenthesis around (7 + a) 30 = a + 3 + 2a + 7 + a Reorder the terms: 30 = 3 + 7 + a + 2a + a Combine like terms: 3 + 7 = 10 30 = 10 + a + 2a + a Combine like terms: a + 2a = 3a 30 = 10 + 3a + a Combine like terms: 3a + a = 4a 30 = 10 + 4a Solving 30 = 10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 30 + -4a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 30 + -4a = 10 + 0 30 + -4a = 10 Add '-30' to each side of the equation. 30 + -30 + -4a = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4a = 10 + -30 -4a = 10 + -30 Combine like terms: 10 + -30 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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