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Simplifying 278 = 2a + 2(1 + 5a) 278 = 2a + (1 * 2 + 5a * 2) 278 = 2a + (2 + 10a) Reorder the terms: 278 = 2 + 2a + 10a Combine like terms: 2a + 10a = 12a 278 = 2 + 12a Solving 278 = 2 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 278 + -12a = 2 + 12a + -12a Combine like terms: 12a + -12a = 0 278 + -12a = 2 + 0 278 + -12a = 2 Add '-278' to each side of the equation. 278 + -278 + -12a = 2 + -278 Combine like terms: 278 + -278 = 0 0 + -12a = 2 + -278 -12a = 2 + -278 Combine like terms: 2 + -278 = -276 -12a = -276 Divide each side by '-12'. a = 23 Simplifying a = 23
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