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Simplifying 1 + -6(8a + 2) = -4a + 33 Reorder the terms: 1 + -6(2 + 8a) = -4a + 33 1 + (2 * -6 + 8a * -6) = -4a + 33 1 + (-12 + -48a) = -4a + 33 Combine like terms: 1 + -12 = -11 -11 + -48a = -4a + 33 Reorder the terms: -11 + -48a = 33 + -4a Solving -11 + -48a = 33 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -11 + -48a + 4a = 33 + -4a + 4a Combine like terms: -48a + 4a = -44a -11 + -44a = 33 + -4a + 4a Combine like terms: -4a + 4a = 0 -11 + -44a = 33 + 0 -11 + -44a = 33 Add '11' to each side of the equation. -11 + 11 + -44a = 33 + 11 Combine like terms: -11 + 11 = 0 0 + -44a = 33 + 11 -44a = 33 + 11 Combine like terms: 33 + 11 = 44 -44a = 44 Divide each side by '-44'. a = -1 Simplifying a = -1
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