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Simplifying 7(5a + -4) + -2 = 14 + -8a Reorder the terms: 7(-4 + 5a) + -2 = 14 + -8a (-4 * 7 + 5a * 7) + -2 = 14 + -8a (-28 + 35a) + -2 = 14 + -8a Reorder the terms: -28 + -2 + 35a = 14 + -8a Combine like terms: -28 + -2 = -30 -30 + 35a = 14 + -8a Solving -30 + 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. -30 + 35a + 8a = 14 + -8a + 8a Combine like terms: 35a + 8a = 43a -30 + 43a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 -30 + 43a = 14 + 0 -30 + 43a = 14 Add '30' to each side of the equation. -30 + 30 + 43a = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 43a = 14 + 30 43a = 14 + 30 Combine like terms: 14 + 30 = 44 43a = 44 Divide each side by '43'. a = 1.023255814 Simplifying a = 1.023255814
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