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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 = -5 33 + 5a = -5 + 24a Solving 33 + 5a = -5 + 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 = -5 + 24a + -24a Combine like terms: 5a + -24a = -19a 33 + -19a = -5 + 24a + -24a Combine like terms: 24a + -24a = 0 33 + -19a = -5 + 0 33 + -19a = -5 Add '-33' to each side of the equation. 33 + -33 + -19a = -5 + -33 Combine like terms: 33 + -33 = 0 0 + -19a = -5 + -33 -19a = -5 + -33 Combine like terms: -5 + -33 = -38 -19a = -38 Divide each side by '-19'. a = 2 Simplifying a = 2
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