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Simplifying -2a + 33 = -6(4a + 4) + 3a Reorder the terms: 33 + -2a = -6(4a + 4) + 3a Reorder the terms: 33 + -2a = -6(4 + 4a) + 3a 33 + -2a = (4 * -6 + 4a * -6) + 3a 33 + -2a = (-24 + -24a) + 3a Combine like terms: -24a + 3a = -21a 33 + -2a = -24 + -21a Solving 33 + -2a = -24 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 33 + -2a + 21a = -24 + -21a + 21a Combine like terms: -2a + 21a = 19a 33 + 19a = -24 + -21a + 21a Combine like terms: -21a + 21a = 0 33 + 19a = -24 + 0 33 + 19a = -24 Add '-33' to each side of the equation. 33 + -33 + 19a = -24 + -33 Combine like terms: 33 + -33 = 0 0 + 19a = -24 + -33 19a = -24 + -33 Combine like terms: -24 + -33 = -57 19a = -57 Divide each side by '19'. a = -3 Simplifying a = -3
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