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