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Simplifying 1(5a + -4) + -1 = 14 + -8a Reorder the terms: 1(-4 + 5a) + -1 = 14 + -8a (-4 * 1 + 5a * 1) + -1 = 14 + -8a (-4 + 5a) + -1 = 14 + -8a Reorder the terms: -4 + -1 + 5a = 14 + -8a Combine like terms: -4 + -1 = -5 -5 + 5a = 14 + -8a Solving -5 + 5a = 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. -5 + 5a + 8a = 14 + -8a + 8a Combine like terms: 5a + 8a = 13a -5 + 13a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 -5 + 13a = 14 + 0 -5 + 13a = 14 Add '5' to each side of the equation. -5 + 5 + 13a = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 13a = 14 + 5 13a = 14 + 5 Combine like terms: 14 + 5 = 19 13a = 19 Divide each side by '13'. a = 1.461538462 Simplifying a = 1.461538462
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