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Simplifying 8a + -1(1 + 5a) = 4(3a + -11) + -24 8a + (1 * -1 + 5a * -1) = 4(3a + -11) + -24 8a + (-1 + -5a) = 4(3a + -11) + -24 Reorder the terms: -1 + 8a + -5a = 4(3a + -11) + -24 Combine like terms: 8a + -5a = 3a -1 + 3a = 4(3a + -11) + -24 Reorder the terms: -1 + 3a = 4(-11 + 3a) + -24 -1 + 3a = (-11 * 4 + 3a * 4) + -24 -1 + 3a = (-44 + 12a) + -24 Reorder the terms: -1 + 3a = -44 + -24 + 12a Combine like terms: -44 + -24 = -68 -1 + 3a = -68 + 12a Solving -1 + 3a = -68 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -1 + 3a + -12a = -68 + 12a + -12a Combine like terms: 3a + -12a = -9a -1 + -9a = -68 + 12a + -12a Combine like terms: 12a + -12a = 0 -1 + -9a = -68 + 0 -1 + -9a = -68 Add '1' to each side of the equation. -1 + 1 + -9a = -68 + 1 Combine like terms: -1 + 1 = 0 0 + -9a = -68 + 1 -9a = -68 + 1 Combine like terms: -68 + 1 = -67 -9a = -67 Divide each side by '-9'. a = 7.444444444 Simplifying a = 7.444444444
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