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Simplifying 33 = 1 + -8(6a + 8) Reorder the terms: 33 = 1 + -8(8 + 6a) 33 = 1 + (8 * -8 + 6a * -8) 33 = 1 + (-64 + -48a) Combine like terms: 1 + -64 = -63 33 = -63 + -48a Solving 33 = -63 + -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. 33 + 48a = -63 + -48a + 48a Combine like terms: -48a + 48a = 0 33 + 48a = -63 + 0 33 + 48a = -63 Add '-33' to each side of the equation. 33 + -33 + 48a = -63 + -33 Combine like terms: 33 + -33 = 0 0 + 48a = -63 + -33 48a = -63 + -33 Combine like terms: -63 + -33 = -96 48a = -96 Divide each side by '48'. a = -2 Simplifying a = -2
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