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Simplifying 14a + -5(a + 7) = 10 Reorder the terms: 14a + -5(7 + a) = 10 14a + (7 * -5 + a * -5) = 10 14a + (-35 + -5a) = 10 Reorder the terms: -35 + 14a + -5a = 10 Combine like terms: 14a + -5a = 9a -35 + 9a = 10 Solving -35 + 9a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 9a = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 9a = 10 + 35 9a = 10 + 35 Combine like terms: 10 + 35 = 45 9a = 45 Divide each side by '9'. a = 5 Simplifying a = 5
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