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Simplifying 35 + -7a = 7(1 + 7a) 35 + -7a = (1 * 7 + 7a * 7) 35 + -7a = (7 + 49a) Solving 35 + -7a = 7 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. 35 + -7a + -49a = 7 + 49a + -49a Combine like terms: -7a + -49a = -56a 35 + -56a = 7 + 49a + -49a Combine like terms: 49a + -49a = 0 35 + -56a = 7 + 0 35 + -56a = 7 Add '-35' to each side of the equation. 35 + -35 + -56a = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -56a = 7 + -35 -56a = 7 + -35 Combine like terms: 7 + -35 = -28 -56a = -28 Divide each side by '-56'. a = 0.5 Simplifying a = 0.5
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