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Simplifying 2a + 5(a + -7) = 48 Reorder the terms: 2a + 5(-7 + a) = 48 2a + (-7 * 5 + a * 5) = 48 2a + (-35 + 5a) = 48 Reorder the terms: -35 + 2a + 5a = 48 Combine like terms: 2a + 5a = 7a -35 + 7a = 48 Solving -35 + 7a = 48 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 + 7a = 48 + 35 Combine like terms: -35 + 35 = 0 0 + 7a = 48 + 35 7a = 48 + 35 Combine like terms: 48 + 35 = 83 7a = 83 Divide each side by '7'. a = 11.85714286 Simplifying a = 11.85714286
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