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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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