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Simplifying 2(2a + 7) = 5(a + 7) Reorder the terms: 2(7 + 2a) = 5(a + 7) (7 * 2 + 2a * 2) = 5(a + 7) (14 + 4a) = 5(a + 7) Reorder the terms: 14 + 4a = 5(7 + a) 14 + 4a = (7 * 5 + a * 5) 14 + 4a = (35 + 5a) Solving 14 + 4a = 35 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 14 + 4a + -5a = 35 + 5a + -5a Combine like terms: 4a + -5a = -1a 14 + -1a = 35 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -1a = 35 + 0 14 + -1a = 35 Add '-14' to each side of the equation. 14 + -14 + -1a = 35 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = 35 + -14 -1a = 35 + -14 Combine like terms: 35 + -14 = 21 -1a = 21 Divide each side by '-1'. a = -21 Simplifying a = -21
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