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Simplifying 4 + 6a = 2(10 + 7a) 4 + 6a = (10 * 2 + 7a * 2) 4 + 6a = (20 + 14a) Solving 4 + 6a = 20 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 4 + 6a + -14a = 20 + 14a + -14a Combine like terms: 6a + -14a = -8a 4 + -8a = 20 + 14a + -14a Combine like terms: 14a + -14a = 0 4 + -8a = 20 + 0 4 + -8a = 20 Add '-4' to each side of the equation. 4 + -4 + -8a = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -8a = 20 + -4 -8a = 20 + -4 Combine like terms: 20 + -4 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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