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Simplifying 8(5a + -4) + -1 = 14 + -8a Reorder the terms: 8(-4 + 5a) + -1 = 14 + -8a (-4 * 8 + 5a * 8) + -1 = 14 + -8a (-32 + 40a) + -1 = 14 + -8a Reorder the terms: -32 + -1 + 40a = 14 + -8a Combine like terms: -32 + -1 = -33 -33 + 40a = 14 + -8a Solving -33 + 40a = 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. -33 + 40a + 8a = 14 + -8a + 8a Combine like terms: 40a + 8a = 48a -33 + 48a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 -33 + 48a = 14 + 0 -33 + 48a = 14 Add '33' to each side of the equation. -33 + 33 + 48a = 14 + 33 Combine like terms: -33 + 33 = 0 0 + 48a = 14 + 33 48a = 14 + 33 Combine like terms: 14 + 33 = 47 48a = 47 Divide each side by '48'. a = 0.9791666667 Simplifying a = 0.9791666667
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