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Simplifying -2a + 4 = 7a + -32 Reorder the terms: 4 + -2a = 7a + -32 Reorder the terms: 4 + -2a = -32 + 7a Solving 4 + -2a = -32 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 4 + -2a + -7a = -32 + 7a + -7a Combine like terms: -2a + -7a = -9a 4 + -9a = -32 + 7a + -7a Combine like terms: 7a + -7a = 0 4 + -9a = -32 + 0 4 + -9a = -32 Add '-4' to each side of the equation. 4 + -4 + -9a = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -9a = -32 + -4 -9a = -32 + -4 Combine like terms: -32 + -4 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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