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Simplifying 33 + 5a = 3 + -8(-3a + -1) Reorder the terms: 33 + 5a = 3 + -8(-1 + -3a) 33 + 5a = 3 + (-1 * -8 + -3a * -8) 33 + 5a = 3 + (8 + 24a) Combine like terms: 3 + 8 = 11 33 + 5a = 11 + 24a Solving 33 + 5a = 11 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 33 + 5a + -24a = 11 + 24a + -24a Combine like terms: 5a + -24a = -19a 33 + -19a = 11 + 24a + -24a Combine like terms: 24a + -24a = 0 33 + -19a = 11 + 0 33 + -19a = 11 Add '-33' to each side of the equation. 33 + -33 + -19a = 11 + -33 Combine like terms: 33 + -33 = 0 0 + -19a = 11 + -33 -19a = 11 + -33 Combine like terms: 11 + -33 = -22 -19a = -22 Divide each side by '-19'. a = 1.157894737 Simplifying a = 1.157894737
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