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Simplifying 62(a + 2) = 80a + 15 Reorder the terms: 62(2 + a) = 80a + 15 (2 * 62 + a * 62) = 80a + 15 (124 + 62a) = 80a + 15 Reorder the terms: 124 + 62a = 15 + 80a Solving 124 + 62a = 15 + 80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80a' to each side of the equation. 124 + 62a + -80a = 15 + 80a + -80a Combine like terms: 62a + -80a = -18a 124 + -18a = 15 + 80a + -80a Combine like terms: 80a + -80a = 0 124 + -18a = 15 + 0 124 + -18a = 15 Add '-124' to each side of the equation. 124 + -124 + -18a = 15 + -124 Combine like terms: 124 + -124 = 0 0 + -18a = 15 + -124 -18a = 15 + -124 Combine like terms: 15 + -124 = -109 -18a = -109 Divide each side by '-18'. a = 6.055555556 Simplifying a = 6.055555556
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