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Simplifying 2a + 30 = 2(1 + 8a) Reorder the terms: 30 + 2a = 2(1 + 8a) 30 + 2a = (1 * 2 + 8a * 2) 30 + 2a = (2 + 16a) Solving 30 + 2a = 2 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 30 + 2a + -16a = 2 + 16a + -16a Combine like terms: 2a + -16a = -14a 30 + -14a = 2 + 16a + -16a Combine like terms: 16a + -16a = 0 30 + -14a = 2 + 0 30 + -14a = 2 Add '-30' to each side of the equation. 30 + -30 + -14a = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -14a = 2 + -30 -14a = 2 + -30 Combine like terms: 2 + -30 = -28 -14a = -28 Divide each side by '-14'. a = 2 Simplifying a = 2
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