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Simplifying 7(5a + -4) = 15 + -8a Reorder the terms: 7(-4 + 5a) = 15 + -8a (-4 * 7 + 5a * 7) = 15 + -8a (-28 + 35a) = 15 + -8a Solving -28 + 35a = 15 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -28 + 35a + 8a = 15 + -8a + 8a Combine like terms: 35a + 8a = 43a -28 + 43a = 15 + -8a + 8a Combine like terms: -8a + 8a = 0 -28 + 43a = 15 + 0 -28 + 43a = 15 Add '28' to each side of the equation. -28 + 28 + 43a = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 43a = 15 + 28 43a = 15 + 28 Combine like terms: 15 + 28 = 43 43a = 43 Divide each side by '43'. a = 1 Simplifying a = 1
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