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Simplifying -4a + 7 = a + 32 Reorder the terms: 7 + -4a = a + 32 Reorder the terms: 7 + -4a = 32 + a Solving 7 + -4a = 32 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -4a + -1a = 32 + a + -1a Combine like terms: -4a + -1a = -5a 7 + -5a = 32 + a + -1a Combine like terms: a + -1a = 0 7 + -5a = 32 + 0 7 + -5a = 32 Add '-7' to each side of the equation. 7 + -7 + -5a = 32 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = 32 + -7 -5a = 32 + -7 Combine like terms: 32 + -7 = 25 -5a = 25 Divide each side by '-5'. a = -5 Simplifying a = -5
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