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Simplifying (4a + -33) = (2a + 15) Reorder the terms: (-33 + 4a) = (2a + 15) Remove parenthesis around (-33 + 4a) -33 + 4a = (2a + 15) Reorder the terms: -33 + 4a = (15 + 2a) Remove parenthesis around (15 + 2a) -33 + 4a = 15 + 2a Solving -33 + 4a = 15 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -33 + 4a + -2a = 15 + 2a + -2a Combine like terms: 4a + -2a = 2a -33 + 2a = 15 + 2a + -2a Combine like terms: 2a + -2a = 0 -33 + 2a = 15 + 0 -33 + 2a = 15 Add '33' to each side of the equation. -33 + 33 + 2a = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 2a = 15 + 33 2a = 15 + 33 Combine like terms: 15 + 33 = 48 2a = 48 Divide each side by '2'. a = 24 Simplifying a = 24
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