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Simplifying 8a + -1(1 + 5a) = 4(3a + -11) + -20 8a + (1 * -1 + 5a * -1) = 4(3a + -11) + -20 8a + (-1 + -5a) = 4(3a + -11) + -20 Reorder the terms: -1 + 8a + -5a = 4(3a + -11) + -20 Combine like terms: 8a + -5a = 3a -1 + 3a = 4(3a + -11) + -20 Reorder the terms: -1 + 3a = 4(-11 + 3a) + -20 -1 + 3a = (-11 * 4 + 3a * 4) + -20 -1 + 3a = (-44 + 12a) + -20 Reorder the terms: -1 + 3a = -44 + -20 + 12a Combine like terms: -44 + -20 = -64 -1 + 3a = -64 + 12a Solving -1 + 3a = -64 + 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 = -64 + 12a + -12a Combine like terms: 3a + -12a = -9a -1 + -9a = -64 + 12a + -12a Combine like terms: 12a + -12a = 0 -1 + -9a = -64 + 0 -1 + -9a = -64 Add '1' to each side of the equation. -1 + 1 + -9a = -64 + 1 Combine like terms: -1 + 1 = 0 0 + -9a = -64 + 1 -9a = -64 + 1 Combine like terms: -64 + 1 = -63 -9a = -63 Divide each side by '-9'. a = 7 Simplifying a = 7
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