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Simplifying 7(5a + -4) + -4 = 14 + -8a Reorder the terms: 7(-4 + 5a) + -4 = 14 + -8a (-4 * 7 + 5a * 7) + -4 = 14 + -8a (-28 + 35a) + -4 = 14 + -8a Reorder the terms: -28 + -4 + 35a = 14 + -8a Combine like terms: -28 + -4 = -32 -32 + 35a = 14 + -8a Solving -32 + 35a = 14 + -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. -32 + 35a + 8a = 14 + -8a + 8a Combine like terms: 35a + 8a = 43a -32 + 43a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 -32 + 43a = 14 + 0 -32 + 43a = 14 Add '32' to each side of the equation. -32 + 32 + 43a = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 43a = 14 + 32 43a = 14 + 32 Combine like terms: 14 + 32 = 46 43a = 46 Divide each side by '43'. a = 1.069767442 Simplifying a = 1.069767442
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